Edit Profile (opens in new tab) Boccuto, Antonio Co-Author Distance Author ID: boccuto.antonio Published as: Boccuto, Antonio; Boccuto, A. External Links: ORCID Documents Indexed: 137 Publications since 1990, including 2 Books Co-Authors: 36 Co-Authors with 122 Joint Publications 598 Co-Co-Authors all top 5 Co-Authors 15 single-authored 37 Dimitriou, Xenofon 27 Candeloro, Domenico 23 Sambucini, Anna Rita 19 Papanastassiou, Nikolaos 14 Riečan, Beloslav 10 Skvortsov, Valentin Anatol’evich 5 Bardaro, Carlo 5 Mantellini, Ilaria 4 Demirci, Kamil 3 Barbieri, Giuseppina Gerarda 3 Das, Pratulananda 3 Gerace, Ivan 3 Wilczyński, Władysław 2 Athanassiadou, Evangelia S. 2 Carpi, Arturo 2 Orhan, Sevda 2 Tulone, Francesco 2 Vitale, Gaetano 2 Yıldız, Sevda 1 Bukhvalov, Alexander V. 1 Di Nola, Antonio 1 Dirik, Fadime 1 Filippucci, Roberta 1 Giorgetti, Valentina 1 Haluška, Ján 1 Kitsos, Christos P. 1 Kubińska, Elzbieta 1 Martinelli, Francesca 1 Minotti, Anna Maria 1 Mitidieri, Enzo Luigi 1 Pacelli, Graziella 1 Papachristodoulos, Christos 1 Pucci, Patrizia 1 Recchioni, Maria Cristina 1 Vitillaro, Enzo 1 Vrábelová, Marta 1 Zirilli, Francesco all top 5 Serials 15 Real Analysis Exchange 11 Mathematica Slovaca 11 Tatra Mountains Mathematical Publications 9 Atti del Seminario Matematico e Fisico dell’Università di Modena 8 Atti del Seminario Matematico e Fisico dell’ Università di Modena e Reggio Emilia 5 Results in Mathematics 4 Panamerican Mathematical Journal 4 International Journal of Pure and Applied Mathematics 3 Czechoslovak Mathematical Journal 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Positivity 3 Central European Journal of Mathematics 3 Mediterranean Journal of Mathematics 2 Journal of Mathematical Analysis and Applications 2 Kybernetika 2 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 Journal of Mathematical Imaging and Vision 2 Filomat 2 Journal of Concrete and Applicable Mathematics 2 Journal of Applied Functional Analysis 2 Commentationes Mathematicae 2 Journal of Function Spaces 1 Applicable Analysis 1 Mathematical Notes 1 Algebra Universalis 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Applied Mathematics and Computation 1 Indian Journal of Mathematics 1 Information Sciences 1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 1 Bulletin of the Greek Mathematical Society 1 Annales Societatis Mathematicae Polonae. Seria I. Commentationes Mathematicae 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika 1 Acta Universitatis Matthiae Belii. Series Mathematics 1 Turkish Journal of Mathematics 1 Communications on Applied Nonlinear Analysis 1 Journal of Applied Analysis 1 Abstract and Applied Analysis 1 Journal of Inequalities and Applications 1 Italian Journal of Pure and Applied Mathematics 1 Acta Mathematica Sinica. English Series 1 Journal of Function Spaces and Applications 1 The Australian Journal of Mathematical Analysis and Applications 1 International Mathematical Forum 1 SIAM Journal on Imaging Sciences 1 RAIRO. Theoretical Informatics and Applications 1 Bollettino dell’Unione Matematica Italiana 1 Constructive Mathematical Analysis 1 Sampling Theory, Signal Processing, and Data Analysis all top 5 Fields 104 Measure and integration (28-XX) 61 Functional analysis (46-XX) 19 Real functions (26-XX) 16 Sequences, series, summability (40-XX) 16 Approximations and expansions (41-XX) 12 General topology (54-XX) 11 Operator theory (47-XX) 8 Order, lattices, ordered algebraic structures (06-XX) 5 Computer science (68-XX) 4 Partial differential equations (35-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Abstract harmonic analysis (43-XX) 3 Operations research, mathematical programming (90-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Probability theory and stochastic processes (60-XX) 2 Information and communication theory, circuits (94-XX) 1 Topological groups, Lie groups (22-XX) 1 Numerical analysis (65-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 108 Publications have been cited 555 times in 209 Documents Cited by ▼ Year ▼ Abstract Korovkin-type theorems in modular spaces and applications. Zbl 1283.41018Bardaro, Carlo; Boccuto, Antonio; Dimitriou, Xenofon; Mantellini, Ilaria 31 2013 Vitali-type theorems for filter convergence related to vector lattice-valued modulars and applications to stochastic processes. Zbl 1349.46044Boccuto, Antonio; Candeloro, Domenico; Sambucini, Anna Rita 30 2014 Triangular \(A\)-statistical approximation by double sequences of positive linear operators. Zbl 1338.40009Bardaro, C.; Boccuto, A.; Demirci, K.; Mantellini, I.; Orhan, S. 22 2015 Some inequalities in classical spaces with mixed norms. Zbl 1043.46025Boccuto, Antonio; Bukhvalov, Alexander V.; Sambucini, Anna Rita 21 2002 Korovkin-type theorems for modular \(\Psi\)-\(A\)-statistical convergence. Zbl 1327.46006Bardaro, Carlo; Boccuto, Antonio; Demirci, Kamil; Mantellini, Ilaria; Orhan, Sevda 19 2015 Henstock multivalued integrability in Banach lattices with respect to pointwise non atomic measures. Zbl 1329.28024Boccuto, Antonio; Candeloro, Domenico; Sambucini, Anna Rita 18 2015 Integral and ideals in Riesz spaces. Zbl 1185.28016Boccuto, A.; Candeloro, D. 16 2009 Uniform \(s\)-boundedness and convergence results for measures with values in complete l-groups. Zbl 1006.28012Boccuto, A.; Candeloro, D. 14 2002 \(L^p\) spaces in vector lattices and applications. Zbl 1505.28018Boccuto, Antonio; Candeloro, Domenico; Sambucini, Anna Rita 13 2017 A note on comparisons between Birkhoff and McShane-type integrals for multifunctions. Zbl 1277.28016Boccuto, Antonio; Sambucini, Anna Rita 12 2012 Modular filter convergence theorems for Urysohn integral operators and applications. Zbl 1268.41018Boccuto, Antonio; Dimitriou, Xenofon 12 2013 Relative uniform convergence of a sequence of functions at a point and Korovkin-type approximation theorems. Zbl 1435.41022Demirci, Kamil; Boccuto, Antonio; Yıldız, Sevda; Dirik, Fadime 11 2020 Modular filter convergence theorems for abstract sampling type operators. Zbl 1286.41003Bardaro, C.; Boccuto, A.; Dimitriou, X.; Mantellini, I. 11 2013 Set-valued Kurzweil-Henstock integral in Riesz space setting. Zbl 1276.28027Boccuto, A.; Minotti, A. M.; Sambucini, A. R. 11 2013 Modular convergence theorems for integral operators in the context of filter exhaustiveness and applications. Zbl 1266.41017Boccuto, Antonio; Dimitriou, Xenofon 11 2013 The monotone integral with respect to Riesz space-valued capacities. Zbl 0879.28020Boccuto, A.; Sambucini, A. R. 9 1996 Korovkin-type theorems for abstract modular convergence. Zbl 1440.40004Boccuto, Antonio; Dimitriou, Xenofon 9 2016 Schur lemma and limit theorems in lattice groups with respect to filters. Zbl 1274.28027Boccuto, Antonio; Dimitriou, Xenofon; Papanastassiou, Nikolas 9 2012 Ascoli-type theorems and ideal \((\alpha)\)-convergence. Zbl 1289.40013Athanassiadou, E.; Boccuto, A.; Dimitriou, X.; Papanastassiou, N. 8 2012 Differential and integral caculus in Riesz spaces. Zbl 0942.28008Boccuto, Antonio 8 1998 Brooks-Jewett-type theorems for the pointwise ideal convergence of measures with values in \((l)\)-groups. Zbl 1265.26035Boccuto, Antonio; Dimitriou, Xenofon; Papanastassiou, Nikolas 7 2011 Some new results about Brooks-Jewett and Dieudonne’-type theorems in \(l\)-groups. Zbl 1210.28015Boccuto, A.; Candeloro, D. 7 2010 Convergence theorems for lattice group-valued measures. With a foreword by Christos P. Kitsos. Zbl 1342.28001Boccuto, Antonio; Dimitriou, Xenofon 7 2015 Dieudonné-type theorems for set functions with values in \((l)\)-groups. Zbl 1067.28011Boccuto, A.; Candeloro, D. 7 2002 Some versions of limit and Dieudonné-type theorems with respect to filter convergence for \((\ell )\)-group-valued measures. Zbl 1227.26007Boccuto, Antonio; Dimitriou, Xenofon; Papanastassiou, Nikolaos 6 2011 Defining limits by means of integrals. Zbl 1248.28018Boccuto, Antonio; Candeloro, Domenico 6 2010 On the De Giorgi-Letta integral with respect to means with values in Riesz spaces. Zbl 0879.28019Boccuto, A.; Sambucini, A. R. 6 1995 A McShane integral for multifunctions. Zbl 1104.28007Boccuto, A.; Sambucini, A. R. 6 2004 A Hake-type theorem for integrals with respect to abstract derivation bases in the Riesz space setting. Zbl 1389.28023Boccuto, A.; Skvortsov, V. A.; Tulone, F. 6 2015 Integration of functions ranging in complex Riesz space and some applications in harmonic analysis. Zbl 1329.28025Boccuto, A.; Skvortsov, V. A.; Tulone, F. 6 2015 Dieudonné-type theorems for means with values in Riesz spaces. Zbl 0918.28009Boccuto, Antonio 6 1996 Basic matrix theorems for \({\mathcal I}\)-convergence in \((\ell)\)-groups. Zbl 1313.28021Boccuto, Antonio; Dimitriou, Xenofon; Papanastassiou, Nikolas 5 2012 Uniform \((s)\)-boundedness and regularity for \((l)\)-group-valued measures. Zbl 1217.28020Boccuto, Antonio; Candeloro, Domenico 5 2011 Ideal exhaustiveness, continuity and \((\alpha)\)-convergence for lattice group-valued functions. Zbl 1221.28021Boccuto, A.; Dimitriou, X.; Papanastassiou, N.; Wilczyński, W. 5 2011 Differential calculus in Riesz spaces and applications to \(g\)-calculus. Zbl 1252.28007Boccuto, Antonio; Candeloro, Domenico 5 2011 Riesz spaces, integration and sandwich theorems. Zbl 0815.28007Boccuto, Antonio 5 1993 Sandwich theorems, extension principles and amenability. Zbl 0878.46002Boccuto, A.; Candeloro, D. 5 1994 Integration in Riesz spaces with respect to \((D)\)-convergence. Zbl 0918.28010Boccuto, Antonio 5 1997 Rates of approximation for general sampling-type operators in the setting of filter convergence. Zbl 1364.41009Boccuto, Antonio; Dimitriou, Xenofon 5 2014 Asymptotic stability for abstract evolution equations and applications to partial differential systems. Zbl 0942.47055Boccuto, Antonio; Vitillaro, Enzo 5 1998 A Fubini theorem in Riesz spaces for the Kurzweil-Henstock integral. Zbl 1231.28011Boccuto, A.; Candeloro, D.; Sambucini, A. R. 5 2011 A survey of decomposition and convergence theorems for \(l\)-group-valued measures. Zbl 1121.28017Boccuto, A.; Candeloro, D. 4 2005 Comparison between different types of abstract integrals in Riesz spaces. Zbl 0881.28008Boccuto, Antonio; Sambucini, Anna Rita 4 1997 Stieltjes-type integrals for metric semigroup-valued functions defined on unbounded intervals. Zbl 1132.28317Boccuto, Antonio; Candeloro, Domenico; Sambucini, Anna Rita 4 2007 Vitali-Hahn-Saks and Nikodym theorems for means with values in Riesz spaces. Zbl 0864.28003Boccuto, A. 4 1996 Kondurar theorem and Itô formula in Riesz spaces. Zbl 1109.26006Boccuto, A.; Candeloro, D.; Kubińska, E. 4 2006 Sobczyk-Hammer decompositions and convergence theorems for measures with values in \(l\)-groups. Zbl 1155.28006Boccuto, A.; Candeloro, D. 4 2008 Limit theorems for \(k\)-subadditive lattice group-valued capacities in the filter convergence setting. Zbl 1487.28003Boccuto, Antonio; Dimitriou, Xenofon 4 2016 Convex approximation technique for interacting line elements deblurring: a new approach. Zbl 1255.68209Boccuto, Antonio; Gerace, Ivan; Pucci, Patrizia 4 2012 Equivalence between limit theorems for lattice group-valued \(k\)-triangular set functions. Zbl 1400.28004Boccuto, Antonio; Dimitriou, Xenofon 4 2018 Convergence and decompositions for \(l\)-group-valued set functions. Zbl 1057.28005Boccuto, A.; Candeloro, D. 4 2004 Filter exhaustiveness and filter limit theorems for \(k\)-triangular lattice group-valued set functions. Zbl 1423.28036Boccuto, Antonio; Dimitriou, Xenofon 3 2019 Vitali and Schur-type theorems for Riesz-space-valued set functions. Zbl 1096.28006Candeloro, D.; Boccuto, A. 3 2002 More on filter exhaustiveness of lattice group-valued measures. Zbl 1302.28004Boccuto, Antonio; Dimitriou, Xenofon 3 2014 Ideal exhaustiveness, weak convergence and weak compactness in Banach spaces. Zbl 1276.28024Boccuto, Antonio; Das, Pratulananda; Dimitriou, Xenofon; Papanastassiou, Nikolaos 3 2012 The contraction principle in Riesz spaces and applications to differential and stochastic equations. Zbl 1195.28011Boccuto, Antonio; Candeloro, Domenico 3 2007 Integral and differential calculus in Riesz spaces and applications. Zbl 1171.28005Boccuto, A.; Candeloro, D. 3 2008 Abstract generalized Kurzweil-Henstock-type integrals for Riesz space-valued functions. Zbl 1179.28019Boccuto, A.; Candeloro, D.; Riečan, B. 3 2009 On Stone-type extensions for group-valued measures. Zbl 0857.28009Boccuto, Antonio 3 1995 Abstract integration in Riesz spaces. Zbl 0857.28007Boccuto, Antonio 3 1995 Uniform boundedness theorems in Riesz spaces. Zbl 1115.28011Boccuto, A.; Candeloro, D. 3 2004 Ascoli-type theorems in the cone metric space setting. Zbl 1373.54011Boccuto, Antonio; Dimitriou, Xenofon 3 2014 Ideal convergence and divergence of nets in \((\ell )\)-groups. Zbl 1274.28026Boccuto, Antonio; Dimitriou, Xenofon; Papanastassiou, Nikolaos 3 2012 Affine representations of \(\ell\)-groups and MV-algebras. Zbl 1420.06012Boccuto, Antonio; Di Nola, Antonio; Vitale, Gaetano 3 2017 Henstock-Kurzweil type integration of Riesz-space-valued functions and applications to Walsh series. Zbl 1067.28009Boccuto, A.; Skvortsov, V. A. 3 2004 Half-quadratic image restoration with a non-parallelism constraint. Zbl 1426.68279Boccuto, Antonio; Gerace, Ivan; Martinelli, Francesca 2 2017 Hahn-Banach and sandwich theorems for equivariant vector lattice-valued operators and applications. Zbl 07439074Boccuto, Antonio 2 2020 Countably additive restrictions and limit theorems in \(l\)-groups. Zbl 1225.26022Boccuto, Antonio; Dimitriou, Xenofon; Papanastassiou, Nikolaos 2 2010 Unconditional convergence in lattice groups with respect to ideals. Zbl 1234.28014Boccuto, A.; Dimitriou, X.; Papanastassiou, N. 2 2010 Some properties of ideal \((\alpha)\)-convergence in \((\ell)\)-groups. Zbl 1244.28016Boccuto, A.; Dimitriou, X. 2 2011 Hahn-Banach-type theorems and applications to optimization for partially ordered vector space-valued invariant operators. Zbl 1444.46003Boccuto, Antonio 2 2019 Integration by parts for perron type integrals of order 1 and 2 in Riesz spaces. Zbl 1154.28303Boccuto, A.; Sambucini, A. R.; Skvortsov, V. A. 2 2007 Schur and Nikodým convergence-type theorems in Riesz spaces with respect to the \((r)\)-convergence. Zbl 1206.28020Boccuto, Antonio; Papanastassiou, Nikolaos 2 2007 On the Henstock-Kurzweil integral for Riesz-space-valued functions defined on unbounded intervals. Zbl 1080.28007Boccuto, A.; Riečan, B. 2 2004 Modes of continuity involving almost and ideal convergence. Zbl 1313.26001Boccuto, Antonio; Dimitriou, Xenofon; Papanastassiou, Nikolas 2 2012 Addendum to: “Comparison between different types of abstract integrals in Riesz spaces”. Zbl 0953.28006Boccuto, Antonio; Sambucini, Anna Rita 2 2000 Abstract Korovkin-type theorems in the filter setting with respect to relative uniform convergence. Zbl 1452.41014Boccuto, Antonio; Demirci, Kamil; Yıldız, Sevda 2 2020 A survey on recent results in Korovkin’s approximation theory in modular spaces. Zbl 1488.41031Bardaro, Carlo; Boccuto, Antonio; Mantellini, Ilaria 2 2021 On extensions of \(k\)-subadditive lattice group-valued capacities. Zbl 1388.28002Barbieri, G.; Boccuto, A. 2 2017 Some applications of modular convergence in vector lattice setting. Zbl 1516.41013Boccuto, Antonio; Sambucini, Anna Rita 2 2022 Kurzweil-Henstock integral in Riesz spaces. Zbl 1469.28001Boccuto, Antonio; Riecan, Beloslav; Vrábelová, Marta 1 2012 Addendum to: “Some new types of filter limit theorems for topological group-valued measures”. Zbl 1408.28005Boccuto, Antonio; Dimitriou, Xenofon 1 2015 Invariant means with special properties. Zbl 0791.43002Boccuto, Antonio; Candeloro, Domenico 1 1993 Extensions and uniqueness theorems for invariant measures. Zbl 0786.28006Boccuto, Antonio; Candeloro, Domenico 1 1993 The concave integral with respect to Riezs space-valued capacities. Zbl 1212.28034Boccuto, Antonio; Riečan, Beloslav 1 2009 The Perron integral of order two in Riesz spaces via Peano derivatives. Zbl 1183.28022Boccuto, Antonio; Sambucini, Anna Rita; Skvortsov, Valentin A. 1 2009 Comparison of some Henstock-type integrals on the class of functions with values in the Riesz spaces. Zbl 1150.28321Boccuto, A.; Skvortsov, V. A. 1 2006 Modes of ideal continuity and the additive property in the Riesz space setting. Zbl 1318.40002Boccuto, Antonio; Dimitriou, Xenofon; Papanastassiou, Nikolaos; Wilczyński, Władysław 1 2014 A sandwich-type theorem for invariant measures. Zbl 0735.46001Boccuto, Antonio; Candeloro, Domenico 1 1990 Sandwich theorems and applications to invariant measures. Zbl 0735.46002Boccuto, Antonio; Candeloro, Domenico 1 1990 Uniform boundedness principle, Banach-Steinhaus and approximation theorems for filter convergence in Riesz spaces. Zbl 1298.28024Boccuto, A.; Dimitriou, X.; Papanastassiou, N. 1 2012 On extension theorems for \(M\)-measures in \(l\)-groups. Zbl 1224.28024Boccuto, Antonio; Riečan, Beloslav 1 2010 On the product of \(M\)-measures in \(l\)-groups. Zbl 1187.28020Boccuto, A.; Riečan, B.; Sambucini, A. R. 1 2010 Erratum to: Integration by parts for Perron type integrals of order 1 and 2 in Riesz spaces. Zbl 1190.28006Boccuto, A.; Sambucini, A. R.; Skvortsov, V. A. 1 2010 On the existence of continuous invariant means with respect to amenable semigroups. Zbl 0722.28008Boccuto, A.; Candeloro, D. 1 1990 The Perron integral of order \(k\) in Riesz spaces. Zbl 1204.28020Boccuto, Antonio; Skvortsov, Valentin A. 1 2010 The symmetric Choquet integral with respect to Riesz-space-valued capacities. Zbl 1174.28012Boccuto, Antonio; Riečan, Beloslav 1 2008 On Kurzweil-Henstock type integrals with respect to abstract derivation bases for Riesz-space-valued functions. Zbl 1108.28009Boccuto, A.; Skvortsov, V. A. 1 2006 A Perron-type integral of order \(2\) for Riesz spaces. Zbl 0989.28006Boccuto, Antonio 1 2001 The Kurzweil-Henstock integral for Riesz space-valued maps defined in abstracht topological spaces and convergence theorems. Zbl 1155.28007Boccuto, Antonio; Riečan, Beloslav 1 2006 Abstract integration with respect to measures and applications to modular convergence in vector lattice setting. Zbl 07618941Boccuto, Antonio; Sambucini, Anna Rita 1 2023 Some applications of modular convergence in vector lattice setting. Zbl 1516.41013Boccuto, Antonio; Sambucini, Anna Rita 2 2022 A survey on recent results in Korovkin’s approximation theory in modular spaces. Zbl 1488.41031Bardaro, Carlo; Boccuto, Antonio; Mantellini, Ilaria 2 2021 Relative uniform convergence of a sequence of functions at a point and Korovkin-type approximation theorems. Zbl 1435.41022Demirci, Kamil; Boccuto, Antonio; Yıldız, Sevda; Dirik, Fadime 11 2020 Hahn-Banach and sandwich theorems for equivariant vector lattice-valued operators and applications. Zbl 07439074Boccuto, Antonio 2 2020 Abstract Korovkin-type theorems in the filter setting with respect to relative uniform convergence. Zbl 1452.41014Boccuto, Antonio; Demirci, Kamil; Yıldız, Sevda 2 2020 Repetitions in Toeplitz words and the Thue threshold. Zbl 07633514Boccuto, Antonio; Carpi, Arturo 1 2020 Filter exhaustiveness and filter limit theorems for \(k\)-triangular lattice group-valued set functions. Zbl 1423.28036Boccuto, Antonio; Dimitriou, Xenofon 3 2019 Hahn-Banach-type theorems and applications to optimization for partially ordered vector space-valued invariant operators. Zbl 1444.46003Boccuto, Antonio 2 2019 Equivalence between limit theorems for lattice group-valued \(k\)-triangular set functions. Zbl 1400.28004Boccuto, Antonio; Dimitriou, Xenofon 4 2018 \(L^p\) spaces in vector lattices and applications. Zbl 1505.28018Boccuto, Antonio; Candeloro, Domenico; Sambucini, Anna Rita 13 2017 Affine representations of \(\ell\)-groups and MV-algebras. Zbl 1420.06012Boccuto, Antonio; Di Nola, Antonio; Vitale, Gaetano 3 2017 Half-quadratic image restoration with a non-parallelism constraint. Zbl 1426.68279Boccuto, Antonio; Gerace, Ivan; Martinelli, Francesca 2 2017 On extensions of \(k\)-subadditive lattice group-valued capacities. Zbl 1388.28002Barbieri, G.; Boccuto, A. 2 2017 On some properties of \(k\)-subadditive lattice group-valued capacities. Zbl 1505.28003Barbieri, Giuseppina; Boccuto, Antonio 1 2017 Korovkin-type theorems for abstract modular convergence. Zbl 1440.40004Boccuto, Antonio; Dimitriou, Xenofon 9 2016 Limit theorems for \(k\)-subadditive lattice group-valued capacities in the filter convergence setting. Zbl 1487.28003Boccuto, Antonio; Dimitriou, Xenofon 4 2016 Matrix theorems and interchange for lattice group-valued series in the filter convergence setting. Zbl 1425.40004Boccuto, A.; Dimitriou, Xenofon 1 2016 Triangular \(A\)-statistical approximation by double sequences of positive linear operators. Zbl 1338.40009Bardaro, C.; Boccuto, A.; Demirci, K.; Mantellini, I.; Orhan, S. 22 2015 Korovkin-type theorems for modular \(\Psi\)-\(A\)-statistical convergence. Zbl 1327.46006Bardaro, Carlo; Boccuto, Antonio; Demirci, Kamil; Mantellini, Ilaria; Orhan, Sevda 19 2015 Henstock multivalued integrability in Banach lattices with respect to pointwise non atomic measures. Zbl 1329.28024Boccuto, Antonio; Candeloro, Domenico; Sambucini, Anna Rita 18 2015 Convergence theorems for lattice group-valued measures. With a foreword by Christos P. Kitsos. Zbl 1342.28001Boccuto, Antonio; Dimitriou, Xenofon 7 2015 A Hake-type theorem for integrals with respect to abstract derivation bases in the Riesz space setting. Zbl 1389.28023Boccuto, A.; Skvortsov, V. A.; Tulone, F. 6 2015 Integration of functions ranging in complex Riesz space and some applications in harmonic analysis. Zbl 1329.28025Boccuto, A.; Skvortsov, V. A.; Tulone, F. 6 2015 Addendum to: “Some new types of filter limit theorems for topological group-valued measures”. Zbl 1408.28005Boccuto, Antonio; Dimitriou, Xenofon 1 2015 Vitali-type theorems for filter convergence related to vector lattice-valued modulars and applications to stochastic processes. Zbl 1349.46044Boccuto, Antonio; Candeloro, Domenico; Sambucini, Anna Rita 30 2014 Rates of approximation for general sampling-type operators in the setting of filter convergence. Zbl 1364.41009Boccuto, Antonio; Dimitriou, Xenofon 5 2014 More on filter exhaustiveness of lattice group-valued measures. Zbl 1302.28004Boccuto, Antonio; Dimitriou, Xenofon 3 2014 Ascoli-type theorems in the cone metric space setting. Zbl 1373.54011Boccuto, Antonio; Dimitriou, Xenofon 3 2014 Modes of ideal continuity and the additive property in the Riesz space setting. Zbl 1318.40002Boccuto, Antonio; Dimitriou, Xenofon; Papanastassiou, Nikolaos; Wilczyński, Władysław 1 2014 Abstract Korovkin-type theorems in modular spaces and applications. Zbl 1283.41018Bardaro, Carlo; Boccuto, Antonio; Dimitriou, Xenofon; Mantellini, Ilaria 31 2013 Modular filter convergence theorems for Urysohn integral operators and applications. Zbl 1268.41018Boccuto, Antonio; Dimitriou, Xenofon 12 2013 Modular filter convergence theorems for abstract sampling type operators. Zbl 1286.41003Bardaro, C.; Boccuto, A.; Dimitriou, X.; Mantellini, I. 11 2013 Set-valued Kurzweil-Henstock integral in Riesz space setting. Zbl 1276.28027Boccuto, A.; Minotti, A. M.; Sambucini, A. R. 11 2013 Modular convergence theorems for integral operators in the context of filter exhaustiveness and applications. Zbl 1266.41017Boccuto, Antonio; Dimitriou, Xenofon 11 2013 A note on comparisons between Birkhoff and McShane-type integrals for multifunctions. Zbl 1277.28016Boccuto, Antonio; Sambucini, Anna Rita 12 2012 Schur lemma and limit theorems in lattice groups with respect to filters. Zbl 1274.28027Boccuto, Antonio; Dimitriou, Xenofon; Papanastassiou, Nikolas 9 2012 Ascoli-type theorems and ideal \((\alpha)\)-convergence. Zbl 1289.40013Athanassiadou, E.; Boccuto, A.; Dimitriou, X.; Papanastassiou, N. 8 2012 Basic matrix theorems for \({\mathcal I}\)-convergence in \((\ell)\)-groups. Zbl 1313.28021Boccuto, Antonio; Dimitriou, Xenofon; Papanastassiou, Nikolas 5 2012 Convex approximation technique for interacting line elements deblurring: a new approach. Zbl 1255.68209Boccuto, Antonio; Gerace, Ivan; Pucci, Patrizia 4 2012 Ideal exhaustiveness, weak convergence and weak compactness in Banach spaces. Zbl 1276.28024Boccuto, Antonio; Das, Pratulananda; Dimitriou, Xenofon; Papanastassiou, Nikolaos 3 2012 Ideal convergence and divergence of nets in \((\ell )\)-groups. Zbl 1274.28026Boccuto, Antonio; Dimitriou, Xenofon; Papanastassiou, Nikolaos 3 2012 Modes of continuity involving almost and ideal convergence. Zbl 1313.26001Boccuto, Antonio; Dimitriou, Xenofon; Papanastassiou, Nikolas 2 2012 Kurzweil-Henstock integral in Riesz spaces. Zbl 1469.28001Boccuto, Antonio; Riecan, Beloslav; Vrábelová, Marta 1 2012 Uniform boundedness principle, Banach-Steinhaus and approximation theorems for filter convergence in Riesz spaces. Zbl 1298.28024Boccuto, A.; Dimitriou, X.; Papanastassiou, N. 1 2012 A Schur-type theorem for \({\mathcal I}\)-convergence and maximal ideals. Zbl 1259.28004Boccuto, A.; Das, P.; Dimitriou, X. 1 2012 Brooks-Jewett-type theorems for the pointwise ideal convergence of measures with values in \((l)\)-groups. Zbl 1265.26035Boccuto, Antonio; Dimitriou, Xenofon; Papanastassiou, Nikolas 7 2011 Some versions of limit and Dieudonné-type theorems with respect to filter convergence for \((\ell )\)-group-valued measures. Zbl 1227.26007Boccuto, Antonio; Dimitriou, Xenofon; Papanastassiou, Nikolaos 6 2011 Uniform \((s)\)-boundedness and regularity for \((l)\)-group-valued measures. Zbl 1217.28020Boccuto, Antonio; Candeloro, Domenico 5 2011 Ideal exhaustiveness, continuity and \((\alpha)\)-convergence for lattice group-valued functions. Zbl 1221.28021Boccuto, A.; Dimitriou, X.; Papanastassiou, N.; Wilczyński, W. 5 2011 Differential calculus in Riesz spaces and applications to \(g\)-calculus. Zbl 1252.28007Boccuto, Antonio; Candeloro, Domenico 5 2011 A Fubini theorem in Riesz spaces for the Kurzweil-Henstock integral. Zbl 1231.28011Boccuto, A.; Candeloro, D.; Sambucini, A. R. 5 2011 Some properties of ideal \((\alpha)\)-convergence in \((\ell)\)-groups. Zbl 1244.28016Boccuto, A.; Dimitriou, X. 2 2011 Some new results on limit theorems with respect to ideal convergence in (\(\ell\))-groups. Zbl 1260.28010Boccuto, Antonio; Dimitriou, Xenofon 1 2011 Some new results about Brooks-Jewett and Dieudonne’-type theorems in \(l\)-groups. Zbl 1210.28015Boccuto, A.; Candeloro, D. 7 2010 Defining limits by means of integrals. Zbl 1248.28018Boccuto, Antonio; Candeloro, Domenico 6 2010 Countably additive restrictions and limit theorems in \(l\)-groups. Zbl 1225.26022Boccuto, Antonio; Dimitriou, Xenofon; Papanastassiou, Nikolaos 2 2010 Unconditional convergence in lattice groups with respect to ideals. Zbl 1234.28014Boccuto, A.; Dimitriou, X.; Papanastassiou, N. 2 2010 On extension theorems for \(M\)-measures in \(l\)-groups. Zbl 1224.28024Boccuto, Antonio; Riečan, Beloslav 1 2010 On the product of \(M\)-measures in \(l\)-groups. Zbl 1187.28020Boccuto, A.; Riečan, B.; Sambucini, A. R. 1 2010 Erratum to: Integration by parts for Perron type integrals of order 1 and 2 in Riesz spaces. Zbl 1190.28006Boccuto, A.; Sambucini, A. R.; Skvortsov, V. A. 1 2010 The Perron integral of order \(k\) in Riesz spaces. Zbl 1204.28020Boccuto, Antonio; Skvortsov, Valentin A. 1 2010 Integral and ideals in Riesz spaces. Zbl 1185.28016Boccuto, A.; Candeloro, D. 16 2009 Abstract generalized Kurzweil-Henstock-type integrals for Riesz space-valued functions. Zbl 1179.28019Boccuto, A.; Candeloro, D.; Riečan, B. 3 2009 The concave integral with respect to Riezs space-valued capacities. Zbl 1212.28034Boccuto, Antonio; Riečan, Beloslav 1 2009 The Perron integral of order two in Riesz spaces via Peano derivatives. Zbl 1183.28022Boccuto, Antonio; Sambucini, Anna Rita; Skvortsov, Valentin A. 1 2009 Sobczyk-Hammer decompositions and convergence theorems for measures with values in \(l\)-groups. Zbl 1155.28006Boccuto, A.; Candeloro, D. 4 2008 Integral and differential calculus in Riesz spaces and applications. Zbl 1171.28005Boccuto, A.; Candeloro, D. 3 2008 The symmetric Choquet integral with respect to Riesz-space-valued capacities. Zbl 1174.28012Boccuto, Antonio; Riečan, Beloslav 1 2008 Stieltjes-type integrals for metric semigroup-valued functions defined on unbounded intervals. Zbl 1132.28317Boccuto, Antonio; Candeloro, Domenico; Sambucini, Anna Rita 4 2007 The contraction principle in Riesz spaces and applications to differential and stochastic equations. Zbl 1195.28011Boccuto, Antonio; Candeloro, Domenico 3 2007 Integration by parts for perron type integrals of order 1 and 2 in Riesz spaces. Zbl 1154.28303Boccuto, A.; Sambucini, A. R.; Skvortsov, V. A. 2 2007 Schur and Nikodým convergence-type theorems in Riesz spaces with respect to the \((r)\)-convergence. Zbl 1206.28020Boccuto, Antonio; Papanastassiou, Nikolaos 2 2007 Kondurar theorem and Itô formula in Riesz spaces. Zbl 1109.26006Boccuto, A.; Candeloro, D.; Kubińska, E. 4 2006 Comparison of some Henstock-type integrals on the class of functions with values in the Riesz spaces. Zbl 1150.28321Boccuto, A.; Skvortsov, V. A. 1 2006 On Kurzweil-Henstock type integrals with respect to abstract derivation bases for Riesz-space-valued functions. Zbl 1108.28009Boccuto, A.; Skvortsov, V. A. 1 2006 The Kurzweil-Henstock integral for Riesz space-valued maps defined in abstracht topological spaces and convergence theorems. Zbl 1155.28007Boccuto, Antonio; Riečan, Beloslav 1 2006 A survey of decomposition and convergence theorems for \(l\)-group-valued measures. Zbl 1121.28017Boccuto, A.; Candeloro, D. 4 2005 A McShane integral for multifunctions. Zbl 1104.28007Boccuto, A.; Sambucini, A. R. 6 2004 Convergence and decompositions for \(l\)-group-valued set functions. Zbl 1057.28005Boccuto, A.; Candeloro, D. 4 2004 Uniform boundedness theorems in Riesz spaces. Zbl 1115.28011Boccuto, A.; Candeloro, D. 3 2004 Henstock-Kurzweil type integration of Riesz-space-valued functions and applications to Walsh series. Zbl 1067.28009Boccuto, A.; Skvortsov, V. A. 3 2004 On the Henstock-Kurzweil integral for Riesz-space-valued functions defined on unbounded intervals. Zbl 1080.28007Boccuto, A.; Riečan, B. 2 2004 Some inequalities in classical spaces with mixed norms. Zbl 1043.46025Boccuto, Antonio; Bukhvalov, Alexander V.; Sambucini, Anna Rita 21 2002 Uniform \(s\)-boundedness and convergence results for measures with values in complete l-groups. Zbl 1006.28012Boccuto, A.; Candeloro, D. 14 2002 Dieudonné-type theorems for set functions with values in \((l)\)-groups. Zbl 1067.28011Boccuto, A.; Candeloro, D. 7 2002 Vitali and Schur-type theorems for Riesz-space-valued set functions. Zbl 1096.28006Candeloro, D.; Boccuto, A. 3 2002 A Perron-type integral of order \(2\) for Riesz spaces. Zbl 0989.28006Boccuto, Antonio 1 2001 Regularity results for positive solutions of a semilinear elliptic system. Zbl 1030.35042Boccuto, Antonio; Mitidieri, Enzo 1 2001 Addendum to: “Comparison between different types of abstract integrals in Riesz spaces”. Zbl 0953.28006Boccuto, Antonio; Sambucini, Anna Rita 2 2000 Differential and integral caculus in Riesz spaces. Zbl 0942.28008Boccuto, Antonio 8 1998 Asymptotic stability for abstract evolution equations and applications to partial differential systems. Zbl 0942.47055Boccuto, Antonio; Vitillaro, Enzo 5 1998 Abstract integration in convergence groups. Zbl 0918.28011Boccuto, Antonio; Sambucini, Anna Rita 1 1998 Integration in Riesz spaces with respect to \((D)\)-convergence. Zbl 0918.28010Boccuto, Antonio 5 1997 Comparison between different types of abstract integrals in Riesz spaces. Zbl 0881.28008Boccuto, Antonio; Sambucini, Anna Rita 4 1997 The monotone integral with respect to Riesz space-valued capacities. Zbl 0879.28020Boccuto, A.; Sambucini, A. R. 9 1996 Dieudonné-type theorems for means with values in Riesz spaces. Zbl 0918.28009Boccuto, Antonio 6 1996 Vitali-Hahn-Saks and Nikodym theorems for means with values in Riesz spaces. Zbl 0864.28003Boccuto, A. 4 1996 On the De Giorgi-Letta integral with respect to means with values in Riesz spaces. Zbl 0879.28019Boccuto, A.; Sambucini, A. R. 6 1995 On Stone-type extensions for group-valued measures. Zbl 0857.28009Boccuto, Antonio 3 1995 ...and 8 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 156 Authors 49 Boccuto, Antonio 24 Sambucini, Anna Rita 21 Candeloro, Domenico 19 Vinti, Gianluca 18 Demirci, Kamil 16 Yıldız, Sevda 15 Dimitriou, Xenofon 13 Costarelli, Danilo 10 Angeloni, Laura 10 Dirik, Fadime 9 Bardaro, Carlo 8 Croitoru, Anca 8 Mantellini, Ilaria 8 Skvortsov, Valentin Anatol’evich 7 Di Piazza, Luisa 7 Gavrilut, Alina Cristiana 7 Tulone, Francesco 6 Musial, Kazimierz 6 Orhan, Sevda 6 Papanastassiou, Nikolaos 5 Çınar, Selin 4 Barbieri, Giuseppina Gerarda 4 Clavero, Nadia 4 Das, Pratulananda 4 Iosif, Alina Emilia 4 Kawabe, Jun 4 Musial, Paul M. 4 Riečan, Beloslav 4 Taş, Emre 3 Butzer, Paul Leo 3 Labuschagne, Coenraad C. A. 3 Pucci, Patrizia 3 Şahin, Pınar Okçu 3 Savaş, Ekrem 3 Soria, Javier 3 Yurdakadim, Tuğba 2 Albayrak, Hüseyin 2 Autuori, Giuseppina 2 Devi, Kshetrimayum Renubebeta 2 Di Nola, Antonio 2 Duman, Oktay 2 Gerace, Ivan 2 Grobler, Jacobus J. 2 Haluška, Ján 2 Kadak, Ugur 2 Kaliaj, Sokol Bush 2 Kawasaki, Toshiharu 2 Kolay, Burçak 2 Marraffa, Valeria 2 Pap, Endre 2 Pehlivan, Serpil 2 Şahin Bayram, Nilay 2 Tripathy, Binod Chandra 2 Vitale, Gaetano 2 Weber, Hans Josef Karl 1 Acu, Ana Maria 1 Agahi, Hamzeh 1 Appell, Jürgen 1 Assili, Marwa 1 Astashkin, Sergeĭ Vladimir 1 Atlihan, Özlem Girgin 1 Avallone, Anna 1 Aytar, Salih 1 Babakhani, Azizollah 1 Bakery, Awad A. 1 Bartoccini, Benedetta 1 Cantarini, Marco 1 Chakraborty, Sagar 1 Cheng, Lixin 1 Chil, Elmiloud 1 Choudhary, Anu 1 Colasuonno, Francesca 1 De Angelis, Eleonora 1 Della Vecchia, Biancamaria 1 Dvurečenskij, Anatolij 1 Faina, Loris 1 Fici, Gabriele 1 Fiorenza, Alberto 1 Ghorbanalizadeh, Arash M. 1 Ghosh, Argha 1 Giorgetti, Valentina 1 Gökçer, Türkan Yeliz 1 Grbić, Tatjana 1 Grey, Wayne 1 Hajlaoui, Hatem 1 Hazarika, Bipan 1 Hosseini, Maryam 1 Hu, Qingying 1 Hutník, Ondrej 1 Singh Kainth, Surinder Pal 1 Kajla, Arun 1 Kalita, Hemanta 1 Karsli, Harun 1 Karuhanga, Martin 1 Khan, Abdul Rahim 1 Kolyada, Viktor Ivanovich 1 Kroupa, Tomáš 1 Kumar, Abhishek 1 Kuo, Wen-Chi 1 Lenzi, Giacomo ...and 56 more Authors all top 5 Cited in 91 Serials 14 Positivity 11 Mathematica Slovaca 11 Mediterranean Journal of Mathematics 9 Journal of Mathematical Analysis and Applications 9 Results in Mathematics 8 Czechoslovak Mathematical Journal 8 Fuzzy Sets and Systems 7 Bollettino dell’Unione Matematica Italiana 5 Real Analysis Exchange 5 Rendiconti del Circolo Matemàtico di Palermo. Serie II 4 Kybernetika 4 Ricerche di Matematica 4 Journal of Function Spaces 3 Mathematical Notes 3 Algebra Universalis 3 Numerical Functional Analysis and Optimization 3 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 3 Tatra Mountains Mathematical Publications 3 Georgian Mathematical Journal 3 Central European Journal of Mathematics 3 Hacettepe Journal of Mathematics and Statistics 2 Applicable Analysis 2 Applied Mathematics and Computation 2 Information Sciences 2 Proceedings of the American Mathematical Society 2 Facta Universitatis. Series Mathematics and Informatics 2 The Journal of Analysis 2 Filomat 2 Integral Transforms and Special Functions 2 Soft Computing 2 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics 2 Applied Mathematics E-Notes 2 Analysis and Mathematical Physics 2 Constructive Mathematical Analysis 1 Indian Journal of Pure & Applied Mathematics 1 Periodica Mathematica Hungarica 1 Ukrainian Mathematical Journal 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Demonstratio Mathematica 1 Integral Equations and Operator Theory 1 Journal of Functional Analysis 1 Matematički Vesnik 1 Mathematische Nachrichten 1 Quaestiones Mathematicae 1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 1 Revista de la Unión Matemática Argentina 1 Theoretical Computer Science 1 Transactions of the American Mathematical Society 1 Zeitschrift für Analysis und ihre Anwendungen 1 International Journal of Approximate Reasoning 1 Forum Mathematicum 1 Mathematica Bohemica 1 The Journal of Geometric Analysis 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Journal of Mathematical Imaging and Vision 1 Journal of Mathematical Sciences (New York) 1 Turkish Journal of Mathematics 1 Journal of Convex Analysis 1 The Journal of Fourier Analysis and Applications 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Abstract and Applied Analysis 1 Journal of Inequalities and Applications 1 Acta Mathematica Sinica. English Series 1 Acta et Commentationes Universitatis Tartuensis de Mathematica 1 Lobachevskii Journal of Mathematics 1 Nonlinear Analysis. Real World Applications 1 Mathematical Modelling and Analysis 1 Iranian Journal of Science and Technology. Transaction A: Science 1 Iranian Journal of Fuzzy Systems 1 Sarajevo Journal of Mathematics 1 Stochastics 1 Complex Analysis and Operator Theory 1 Operators and Matrices 1 SIAM Journal on Imaging Sciences 1 Tbilisi Mathematical Journal 1 Journal of Nonlinear Science and Applications 1 Set-Valued and Variational Analysis 1 Applied General Topology 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Afrika Matematika 1 Palestine Journal of Mathematics 1 Journal of Classical Analysis 1 Journal of Mathematics 1 Open Mathematics 1 Minimax Theory and its Applications 1 Transactions of A. Razmadze Mathematical Institute 1 Advances in Operator Theory 1 Vestnik Samarskogo Universiteta. Estestvennonauchnaya Seriya 1 Mathematical Foundations of Computing 1 Results in Applied Mathematics 1 Sampling Theory, Signal Processing, and Data Analysis all top 5 Cited in 32 Fields 78 Measure and integration (28-XX) 73 Approximations and expansions (41-XX) 71 Functional analysis (46-XX) 53 Sequences, series, summability (40-XX) 36 Real functions (26-XX) 33 Operator theory (47-XX) 16 General topology (54-XX) 12 Order, lattices, ordered algebraic structures (06-XX) 8 Probability theory and stochastic processes (60-XX) 7 Partial differential equations (35-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Information and communication theory, circuits (94-XX) 3 Mathematical logic and foundations (03-XX) 3 Functions of a complex variable (30-XX) 3 Abstract harmonic analysis (43-XX) 3 Integral transforms, operational calculus (44-XX) 3 Integral equations (45-XX) 3 Numerical analysis (65-XX) 3 Computer science (68-XX) 2 Topological groups, Lie groups (22-XX) 2 Ordinary differential equations (34-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Mechanics of particles and systems (70-XX) 2 Operations research, mathematical programming (90-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Manifolds and cell complexes (57-XX) Citations by Year