Edit Profile (opens in new tab) Cantarini, Marco Co-Author Distance Author ID: cantarini.marco Published as: Cantarini, Marco Documents Indexed: 23 Publications since 2017, including 3 Additional arXiv Preprints Co-Authors: 9 Co-Authors with 16 Joint Publications 153 Co-Co-Authors all top 5 Co-Authors 7 single-authored 6 Costarelli, Danilo 6 Gambini, Alessandro 6 Zaccagnini, Alessandro 5 Vinti, Gianluca 2 Campbell, John Maxwell 2 D’Aurizio, Jacopo 1 Languasco, Alessandro 1 Marcelli, Cristina 1 Papalini, Francesca all top 5 Serials 2 The Ramanujan Journal 2 Bollettino dell’Unione Matematica Italiana 1 Journal of Mathematical Analysis and Applications 1 Mathematical Notes 1 Acta Arithmetica 1 Functiones et Approximatio. Commentarii Mathematici 1 Indian Journal of Mathematics 1 Journal of Differential Equations 1 Journal of Number Theory 1 Proceedings of the American Mathematical Society 1 Turkish Journal of Mathematics 1 Integral Transforms and Special Functions 1 Fractional Calculus & Applied Analysis 1 Mediterranean Journal of Mathematics 1 International Journal of Number Theory 1 Dolomites Research Notes on Approximation 1 Research in Number Theory all top 5 Fields 9 Number theory (11-XX) 7 Special functions (33-XX) 5 Approximations and expansions (41-XX) 4 Integral transforms, operational calculus (44-XX) 3 Operator theory (47-XX) 2 Real functions (26-XX) 2 Functions of a complex variable (30-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 Combinatorics (05-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Functional analysis (46-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 18 Publications have been cited 96 times in 59 Documents Cited by ▼ Year ▼ On the interplay between hypergeometric series, Fourier-Legendre expansions and Euler sums. Zbl 1465.33005 Cantarini, Marco; D’Aurizio, Jacopo 23 2019 A solution of the problem of inverse approximation for the sampling Kantorovich operators in case of Lipschitz functions. Zbl 1540.41034 Cantarini, Marco; Costarelli, Danilo; Vinti, Gianluca 14 2020 Approximation of differentiable and not differentiable signals by the first derivative of sampling Kantorovich operators. Zbl 1487.41033 Cantarini, Marco; Costarelli, Danilo; Vinti, Gianluca 9 2022 Symbolic computations via Fourier-Legendre expansions and fractional operators. Zbl 1501.33003 Campbell, John M.; Cantarini, Marco; D’Aurizio, Jacopo 8 2022 A note on Clebsch-Gordan integral, Fourier-Legendre expansions and closed form for hypergeometric series. Zbl 1520.33003 Cantarini, Marco 6 2022 On the Cesàro average of the “Linnik numbers”. Zbl 1406.11100 Cantarini, Marco 6 2017 On the Cesàro average of the numbers that can be written as sum of a prime and two squares of primes. Zbl 1431.11113 Cantarini, Marco 6 2018 A series evaluation technique based on a modified Abel lemma. Zbl 1524.33034 Campbell, John Maxwell; Cantarini, Marco 4 2022 Some identities involving the Cesàro average of the Goldbach numbers. Zbl 1445.11108 Cantarini, Marco 4 2019 On the average number of representations of an integer as a sum of like prime powers. Zbl 1464.11102 Cantarini, Marco; Gambini, Alessandro; Zaccagnini, Alessandro 4 2020 Explicit formula for the average of Goldbach numbers. Zbl 1425.11165 Cantarini, Marco 2 2019 On an average ternary problem with prime powers. Zbl 1468.11210 Cantarini, Marco; Gambini, Alessandro; Languasco, Alessandro; Zaccagnini, Alessandro 2 2020 Approximation results in Sobolev and fractional Sobolev spaces by sampling Kantorovich operators. Zbl 1537.46027 Cantarini, Marco; Costarelli, Danilo; Vinti, Gianluca 2 2023 Convergence of a class of generalized sampling Kantorovich operators perturbed by multiplicative noise. Zbl 07910308 Cantarini, Marco; Costarelli, Danilo; Vinti, Gianluca 2 2023 Wavefront solutions for a class of nonlinear highly degenerate parabolic equations. Zbl 1491.35110 Cantarini, Marco; Marcelli, Cristina; Papalini, Francesca 1 2022 Asymptotic expansion for neural network operators of the Kantorovich type and high order of approximation. Zbl 1469.41006 Cantarini, Marco; Costarelli, Danilo; Vinti, Gianluca 1 2021 A note on an average additive problem with prime numbers. Zbl 1473.11188 Cantarini, Marco; Gambini, Alessandro; Zaccagnini, Alessandro 1 2020 Cesàro averages for Goldbach representations with summands in arithmetic progressions. Zbl 1483.11218 Cantarini, Marco; Gambini, Alessandro; Zaccagnini, Alessandro 1 2021 Approximation results in Sobolev and fractional Sobolev spaces by sampling Kantorovich operators. Zbl 1537.46027 Cantarini, Marco; Costarelli, Danilo; Vinti, Gianluca 2 2023 Convergence of a class of generalized sampling Kantorovich operators perturbed by multiplicative noise. Zbl 07910308 Cantarini, Marco; Costarelli, Danilo; Vinti, Gianluca 2 2023 Approximation of differentiable and not differentiable signals by the first derivative of sampling Kantorovich operators. Zbl 1487.41033 Cantarini, Marco; Costarelli, Danilo; Vinti, Gianluca 9 2022 Symbolic computations via Fourier-Legendre expansions and fractional operators. Zbl 1501.33003 Campbell, John M.; Cantarini, Marco; D’Aurizio, Jacopo 8 2022 A note on Clebsch-Gordan integral, Fourier-Legendre expansions and closed form for hypergeometric series. Zbl 1520.33003 Cantarini, Marco 6 2022 A series evaluation technique based on a modified Abel lemma. Zbl 1524.33034 Campbell, John Maxwell; Cantarini, Marco 4 2022 Wavefront solutions for a class of nonlinear highly degenerate parabolic equations. Zbl 1491.35110 Cantarini, Marco; Marcelli, Cristina; Papalini, Francesca 1 2022 Asymptotic expansion for neural network operators of the Kantorovich type and high order of approximation. Zbl 1469.41006 Cantarini, Marco; Costarelli, Danilo; Vinti, Gianluca 1 2021 Cesàro averages for Goldbach representations with summands in arithmetic progressions. Zbl 1483.11218 Cantarini, Marco; Gambini, Alessandro; Zaccagnini, Alessandro 1 2021 A solution of the problem of inverse approximation for the sampling Kantorovich operators in case of Lipschitz functions. Zbl 1540.41034 Cantarini, Marco; Costarelli, Danilo; Vinti, Gianluca 14 2020 On the average number of representations of an integer as a sum of like prime powers. Zbl 1464.11102 Cantarini, Marco; Gambini, Alessandro; Zaccagnini, Alessandro 4 2020 On an average ternary problem with prime powers. Zbl 1468.11210 Cantarini, Marco; Gambini, Alessandro; Languasco, Alessandro; Zaccagnini, Alessandro 2 2020 A note on an average additive problem with prime numbers. Zbl 1473.11188 Cantarini, Marco; Gambini, Alessandro; Zaccagnini, Alessandro 1 2020 On the interplay between hypergeometric series, Fourier-Legendre expansions and Euler sums. Zbl 1465.33005 Cantarini, Marco; D’Aurizio, Jacopo 23 2019 Some identities involving the Cesàro average of the Goldbach numbers. Zbl 1445.11108 Cantarini, Marco 4 2019 Explicit formula for the average of Goldbach numbers. Zbl 1425.11165 Cantarini, Marco 2 2019 On the Cesàro average of the numbers that can be written as sum of a prime and two squares of primes. Zbl 1431.11113 Cantarini, Marco 6 2018 On the Cesàro average of the “Linnik numbers”. Zbl 1406.11100 Cantarini, Marco 6 2017 all cited Publications top 5 cited Publications all top 5 Cited by 48 Authors 17 Costarelli, Danilo 15 Campbell, John Maxwell 15 Vinti, Gianluca 13 Cantarini, Marco 5 Gambini, Alessandro 5 Zaccagnini, Alessandro 4 Acar, Tuncer 3 Angeloni, Laura 3 Çetin, Nursel 3 Levrie, Paul 3 Sofo, Anthony 3 Xu, Ce 2 Chu, Wenchang 2 Kouba, Omran 2 Languasco, Alessandro 2 Nimbran, Amrik Singh 2 Sambucini, Anna Rita 2 Turgay, Metin 1 Alagoz, Osman 1 Aral, Ali 1 Cagini, C. 1 Charlton, Steven 1 Chen, Hongwei 1 Chen, Kwang-Wu 1 Coroianu, Lucian C. 1 Cui, Huan 1 Dasireddy, Nandan Sai 1 D’Aurizio, Jacopo 1 De Angelis, Eleonora 1 Djellouli, Rabia 1 Draganov, Borislav R. 1 Ferretti, Federica 1 Gangl, Herbert 1 Gujar, R. K. 1 Kadak, Ugur 1 Kursun, Sadettin 1 Lai, Li 1 Levy, Matthew 1 Lupidi, M. 1 Lutty, G. A. 1 Ma, Xinrong 1 Natale, Mariarosaria 1 Piconi, Michele 1 Ritelli, Daniele 1 Seracini, Marco 1 Shen, Yuwei 1 Xu, Jianan 1 Zhao, Zhihong all top 5 Cited in 41 Serials 5 Integral Transforms and Special Functions 4 Journal of Mathematical Analysis and Applications 3 The Ramanujan Journal 2 Results in Mathematics 2 Turkish Journal of Mathematics 2 Mediterranean Journal of Mathematics 2 Banach Journal of Mathematical Analysis 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Dolomites Research Notes on Approximation 2 Constructive Mathematical Analysis 2 DML. Discrete Mathematics Letters 1 Mathematical Methods in the Applied Sciences 1 Mathematical Notes 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Annales Polonici Mathematici 1 Applied Mathematics and Computation 1 Functiones et Approximatio. Commentarii Mathematici 1 Journal of Number Theory 1 Mathematische Nachrichten 1 Mathematica Slovaca 1 Proceedings of the Japan Academy. Series A 1 Quaestiones Mathematicae 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Advances in Applied Mathematics 1 Note di Matematica 1 Acta Mathematica Hungarica 1 Applied Numerical Mathematics 1 Forum Mathematicum 1 Journal of Difference Equations and Applications 1 The Journal of Fourier Analysis and Applications 1 Fractional Calculus & Applied Analysis 1 Journal of Integer Sequences 1 Acta Mathematica Sinica. English Series 1 Journal of the Australian Mathematical Society 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 International Journal of Number Theory 1 Journal of Physics A: Mathematical and Theoretical 1 Applicable Analysis and Discrete Mathematics 1 Journal of Classical Analysis 1 Research in Number Theory 1 Bollettino dell’Unione Matematica Italiana all top 5 Cited in 18 Fields 26 Special functions (33-XX) 23 Number theory (11-XX) 21 Approximations and expansions (41-XX) 8 Information and communication theory, circuits (94-XX) 7 Combinatorics (05-XX) 7 Functional analysis (46-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Operator theory (47-XX) 4 Real functions (26-XX) 4 Integral transforms, operational calculus (44-XX) 3 Sequences, series, summability (40-XX) 3 Numerical analysis (65-XX) 2 Computer science (68-XX) 1 Mathematical logic and foundations (03-XX) 1 Functions of a complex variable (30-XX) 1 Partial differential equations (35-XX) 1 Quantum theory (81-XX) 1 Biology and other natural sciences (92-XX) Citations by Year