Bradley, David M. Note on Dirichlet’s sinc integral. (English) Zbl 07315407 Am. Math. Mon. 128, No. 3, 273-274 (2021). MSC: 42A38 30E20 26A42 PDF BibTeX XML Cite \textit{D. M. Bradley}, Am. Math. Mon. 128, No. 3, 273--274 (2021; Zbl 07315407) Full Text: DOI
Florescu, Liviu C. Lebesgue integral. (English) Zbl 07281925 Compact Textbooks in Mathematics. Cham: Birkhäuser (ISBN 978-3-030-60162-1/pbk; 978-3-030-60163-8/ebook). xi, 215 p. (2021). MSC: 26-01 26A42 28-01 28Axx PDF BibTeX XML Cite \textit{L. C. Florescu}, Lebesgue integral. Cham: Birkhäuser (2021; Zbl 07281925) Full Text: DOI
Kumar, Surendra; Agarwal, Ravi P. Existence of solution for non-autonomous semilinear measure driven equations. (English) Zbl 07332054 Differ. Equ. Appl. 12, No. 3, 313-322 (2020). MSC: 34G20 46G99 PDF BibTeX XML Cite \textit{S. Kumar} and \textit{R. P. Agarwal}, Differ. Equ. Appl. 12, No. 3, 313--322 (2020; Zbl 07332054) Full Text: DOI
Croitoru, Anca; Gavriluţ, Alina Convergence results in Birkhoff weak integrability. (English) Zbl 07309913 Boll. Unione Mat. Ital. 13, No. 4, 477-485 (2020). MSC: 28A25 26A39 PDF BibTeX XML Cite \textit{A. Croitoru} and \textit{A. Gavriluţ}, Boll. Unione Mat. Ital. 13, No. 4, 477--485 (2020; Zbl 07309913) Full Text: DOI
Abel, Ulrich; Kushnirevych, Vitaliy Reducing multiple integrals of Beukers’s type. (English) Zbl 1452.28001 Am. Math. Mon. 127, No. 10, 918-926 (2020). MSC: 28-01 26B15 26B20 26A42 PDF BibTeX XML Cite \textit{U. Abel} and \textit{V. Kushnirevych}, Am. Math. Mon. 127, No. 10, 918--926 (2020; Zbl 1452.28001) Full Text: DOI
Stroock, Daniel W. Essentials of integration theory for analysis. 2nd revised edition. (English) Zbl 1451.26004 Graduate Texts in Mathematics 262. Cham: Springer (ISBN 978-3-030-58477-1/hbk; 978-3-030-58478-8/ebook). xvi, 285 p. (2020). MSC: 26-01 26A42 28-01 28A25 PDF BibTeX XML Cite \textit{D. W. Stroock}, Essentials of integration theory for analysis. 2nd revised edition. Cham: Springer (2020; Zbl 1451.26004) Full Text: DOI
Andrzejczak, Grzegorz Constructions I. Selected constructions of theoretical mathematics – topologies, measures and the Lebesgue integral. (Konstrukcje I. Wybrane konstrukcje matematyki teoretycznej – topologie, miary i całka Lebesgue’a.) (Polish) Zbl 07277983 Łódź: Politechnika Łódzka (ISBN 978-83-66287-63-1/pbk). ii, 169 p. (2020). Reviewer: Eliza Wajch (Siedlce) MSC: 28-01 54-01 28A05 28A25 28A50 28A20 54B10 54B30 54B05 54D30 54D35 54D45 54E50 PDF BibTeX XML Cite \textit{G. Andrzejczak}, Konstrukcje I. Wybrane konstrukcje matematyki teoretycznej -- topologie, miary i całka Lebesgue'a (Polish). Łódź: Politechnika Łódzka (2020; Zbl 07277983)
Simon, Jacques Continuous functions. (English) Zbl 1448.26004 Analysis for PDEs Set 2. London: ISTE; Hoboken, NJ: John Wiley & Sons (ISBN 978-1-78630-010-2/hbk; 978-1-119-33224-4/ebook). xviii, 247 p. (2020). MSC: 26-01 26A15 26A24 26A42 26B05 26B15 PDF BibTeX XML Cite \textit{J. Simon}, Continuous functions. London: ISTE; Hoboken, NJ: John Wiley \& Sons (2020; Zbl 1448.26004) Full Text: DOI
Kaliaj, Sokol Bush Dunford-Henstock-Kurzweil and Dunford-McShane integrals of vector-valued functions defined on \(m\)-dimensional bounded sets. (English) Zbl 1448.28013 Mediterr. J. Math. 17, No. 5, Paper No. 136, 16 p. (2020). Reviewer: Daniele Puglisi (Catania) MSC: 28B05 46B25 46G10 PDF BibTeX XML Cite \textit{S. B. Kaliaj}, Mediterr. J. Math. 17, No. 5, Paper No. 136, 16 p. (2020; Zbl 1448.28013) Full Text: DOI
Mondal, Pratikshan; Dey, Lakshmi Kanta; Ali, Sk. Jaker Nets and sequences of Riemann and Riemann-type integrable functions with values in a Banach space. (English) Zbl 1445.40002 Funct. Approximatio, Comment. Math. 62, No. 2, 203-226 (2020). Reviewer: George Stoica (Saint John) MSC: 40A30 26A42 28B05 46G10 PDF BibTeX XML Cite \textit{P. Mondal} et al., Funct. Approximatio, Comment. Math. 62, No. 2, 203--226 (2020; Zbl 1445.40002) Full Text: DOI Euclid
Candeloro, Domenico; Croitoru, Anca; Gavriluţ, Alina; Iosif, Alina; Sambucini, Anna Rita Properties of the Riemann-Lebesgue integrability in the non-additive case. (English) Zbl 1442.28011 Rend. Circ. Mat. Palermo (2) 69, No. 2, 577-589 (2020). MSC: 28B20 28C15 49J53 PDF BibTeX XML Cite \textit{D. Candeloro} et al., Rend. Circ. Mat. Palermo (2) 69, No. 2, 577--589 (2020; Zbl 1442.28011) Full Text: DOI
Sevast’yanov, E. A. The modulus of oscillation of a function about number sequences and its applications. (English. Russian original) Zbl 1454.26009 Math. Notes 107, No. 1, 145-159 (2020); translation from Mat. Zametki 107, No. 1, 112-129 (2020). Reviewer: Piotr Sworowski (Bydgoszcz) MSC: 26A42 41A55 65D30 PDF BibTeX XML Cite \textit{E. A. Sevast'yanov}, Math. Notes 107, No. 1, 145--159 (2020; Zbl 1454.26009); translation from Mat. Zametki 107, No. 1, 112--129 (2020) Full Text: DOI
Klun, Giuliano On functions having coincident \(p\)-norms. (English) Zbl 1454.28002 Ann. Mat. Pura Appl. (4) 199, No. 3, 955-968 (2020). MSC: 28A25 PDF BibTeX XML Cite \textit{G. Klun}, Ann. Mat. Pura Appl. (4) 199, No. 3, 955--968 (2020; Zbl 1454.28002) Full Text: DOI
Fujiwara, Akio; Yamagata, Koichi Noncommutative Lebesgue decomposition and contiguity with applications in quantum statistics. (English) Zbl 1452.46050 Bernoulli 26, No. 3, 2105-2142 (2020). MSC: 46L51 46L60 81S99 PDF BibTeX XML Cite \textit{A. Fujiwara} and \textit{K. Yamagata}, Bernoulli 26, No. 3, 2105--2142 (2020; Zbl 1452.46050) Full Text: DOI Euclid
Oh, Tadahiro; Wang, Yuzhao Global well-posedness of the one-dimensional cubic nonlinear Schrödinger equation in almost critical spaces. (English) Zbl 1447.35300 J. Differ. Equations 269, No. 1, 612-640 (2020). Reviewer: Sevdzhan Hakkaev (Šumen) MSC: 35Q55 35Q53 37K10 35A01 35A02 PDF BibTeX XML Cite \textit{T. Oh} and \textit{Y. Wang}, J. Differ. Equations 269, No. 1, 612--640 (2020; Zbl 1447.35300) Full Text: DOI
Nahin, Paul J. Inside interesting integrals (with and introduction to contour integration). A collection of sneaky tricks, sly substitutions, and numerous other stupendously clever, awesomely wicked, and devilishly seductive maneuvers for computing hundreds of perplexing definite integrals from physics, engineering, and mathematics (plus numerous challenge problems with complete, detailed solutions). 2nd updated edition. (English) Zbl 1437.26002 Undergraduate Lecture Notes in Physics. Cham: Springer (ISBN 978-3-030-43787-9/pbk; 978-3-030-43788-6/ebook). xlvii, 503 p. (2020). MSC: 26-01 26A42 PDF BibTeX XML Cite \textit{P. J. Nahin}, Inside interesting integrals (with and introduction to contour integration). A collection of sneaky tricks, sly substitutions, and numerous other stupendously clever, awesomely wicked, and devilishly seductive maneuvers for computing hundreds of perplexing definite integrals from physics, engineering, and mathematics (plus numerous challenge problems with complete, detailed solutions). 2nd updated edition. Cham: Springer (2020; Zbl 1437.26002) Full Text: DOI
Fritzsche, Klaus Foundations of calculus 1. Differentiation and integration in one variable. 3rd edition. (Grundkurs Analysis 1. Differentiation und Integration in einer Veränderlichen.) (German) Zbl 1432.26001 Berlin: Springer Spektrum (ISBN 978-3-662-60812-8/pbk; 978-3-662-60813-5/ebook). x, 427 p. (2020). MSC: 26-01 26A06 26A15 26A24 26A42 PDF BibTeX XML Cite \textit{K. Fritzsche}, Grundkurs Analysis 1. Differentiation und Integration in einer Veränderlichen. 3rd edition. Berlin: Springer Spektrum (2020; Zbl 1432.26001) Full Text: DOI
Axler, Sheldon Measure, integration & real analysis. (English) Zbl 1435.28001 Graduate Texts in Mathematics 282. Cham: Springer (ISBN 978-3-030-33142-9/hbk; 978-3-030-33143-6/ebook). xviii, 411 p., open access (2020). Reviewer: Oscar Blasco (Valencia) MSC: 28-01 26-01 42-01 46-01 60-01 PDF BibTeX XML Cite \textit{S. Axler}, Measure, integration \& real analysis. Cham: Springer (2020; Zbl 1435.28001) Full Text: DOI
Gal, Sorin G. On a Choquet-Stieltjes type integral on intervals. (English) Zbl 07289559 Math. Slovaca 69, No. 4, 801-814 (2019). MSC: 28A25 26A42 PDF BibTeX XML Cite \textit{S. G. Gal}, Math. Slovaca 69, No. 4, 801--814 (2019; Zbl 07289559) Full Text: DOI
Gal, Sorin G.; Trifa, Sorin Quantitative estimates for \(L^p\)-approximation by Bernstein-Kantorovich-Choquet polynomials with respect to distorted Lebesgue measures. (English) Zbl 07251262 Constr. Math. Anal. 2, No. 1, 15-21 (2019). MSC: 41A35 28A12 28A25 41A25 PDF BibTeX XML Cite \textit{S. G. Gal} and \textit{S. Trifa}, Constr. Math. Anal. 2, No. 1, 15--21 (2019; Zbl 07251262) Full Text: DOI
Gal, Sorin G. Volterra-Choquet integral equations. (English) Zbl 1443.45002 J. Integral Equations Appl. 31, No. 4, 495-504 (2019). Reviewer: Anna Karczewska (Zielona Gora) MSC: 45D05 45G10 45L05 28A12 28A25 PDF BibTeX XML Cite \textit{S. G. Gal}, J. Integral Equations Appl. 31, No. 4, 495--504 (2019; Zbl 1443.45002) Full Text: DOI Euclid
Arias de Reyna, Juan The value of an integral in Gradshteyn and Ryzhik’s table. (English) Zbl 1429.26012 Ramanujan J. 50, No. 3, 551-571 (2019). MSC: 26A42 30E20 28A99 33E05 PDF BibTeX XML Cite \textit{J. Arias de Reyna}, Ramanujan J. 50, No. 3, 551--571 (2019; Zbl 1429.26012) Full Text: DOI
Nowak, Marian Continuous linear operators on Orlicz-Bochner spaces. (English) Zbl 07140123 Open Math. 17, 1147-1155 (2019). MSC: 47B38 46E40 28A25 PDF BibTeX XML Cite \textit{M. Nowak}, Open Math. 17, 1147--1155 (2019; Zbl 07140123) Full Text: DOI
Di Piazza, L.; Marraffa, V.; Satco, B. Approximating the solutions of differential inclusions driven by measures. (English) Zbl 1440.34005 Ann. Mat. Pura Appl. (4) 198, No. 6, 2123-2140 (2019). Reviewer: Antonín Slavík (Praha) MSC: 34A06 34A60 26A45 28B20 34A12 26A42 PDF BibTeX XML Cite \textit{L. Di Piazza} et al., Ann. Mat. Pura Appl. (4) 198, No. 6, 2123--2140 (2019; Zbl 1440.34005) Full Text: DOI
Gal, Sorin G. Fredholm-Choquet integral equations. (English) Zbl 1444.45002 J. Integral Equations Appl. 31, No. 2, 183-194 (2019). Reviewer: Nikolaos L. Tsitsas (Athína) MSC: 45B05 28A25 45G10 45L05 28A12 PDF BibTeX XML Cite \textit{S. G. Gal}, J. Integral Equations Appl. 31, No. 2, 183--194 (2019; Zbl 1444.45002) Full Text: DOI Euclid
Komornik, V. A simplified construction of the Lebesgue integral. (English) Zbl 1438.28003 Acta Math. Hung. 158, No. 2, 318-337 (2019). Reviewer: Radko Mesiar (Bratislava) MSC: 28A25 26A42 PDF BibTeX XML Cite \textit{V. Komornik}, Acta Math. Hung. 158, No. 2, 318--337 (2019; Zbl 1438.28003) Full Text: DOI
Heil, Christopher Introduction to real analysis. (English) Zbl 1426.26001 Graduate Texts in Mathematics 280. Cham: Springer (ISBN 978-3-030-26901-2/hbk; 978-3-030-26903-6/ebook). xvii, 400 p. (2019). Reviewer: Sergei V. Rogosin (Minsk) MSC: 26-01 42Axx 42A38 46B25 46C05 28-01 PDF BibTeX XML Cite \textit{C. Heil}, Introduction to real analysis. Cham: Springer (2019; Zbl 1426.26001) Full Text: DOI
Gill, Tepper L.; Myers, Timothy Constructive analysis on Banach spaces. (English) Zbl 1429.46030 Real Anal. Exch. 44, No. 1, 1-36 (2019). MSC: 46G12 28C20 46N20 PDF BibTeX XML Cite \textit{T. L. Gill} and \textit{T. Myers}, Real Anal. Exch. 44, No. 1, 1--36 (2019; Zbl 1429.46030) Full Text: DOI Euclid
Silva, Cesar E. Invitation to real analysis. (English) Zbl 1448.26003 Pure and Applied Undergraduate Texts 36. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4928-5/hbk; 978-1-4704-5233-9/ebook). x, 303 p. (2019). Reviewer: Vladimír Janiš (Banská Bystrica) MSC: 26-01 26A03 26A24 26A42 PDF BibTeX XML Cite \textit{C. E. Silva}, Invitation to real analysis. Providence, RI: American Mathematical Society (AMS) (2019; Zbl 1448.26003)
Markin, Marat V. Real analysis. Measure and integration. (English) Zbl 1417.28001 De Gruyter Graduate. Berlin: De Gruyter (ISBN 978-3-11-060097-1/pbk; 978-3-11-060099-5/ebook). xv, 339 p. (2019). MSC: 28-01 28Axx 26A42 PDF BibTeX XML Cite \textit{M. V. Markin}, Real analysis. Measure and integration. Berlin: De Gruyter (2019; Zbl 1417.28001) Full Text: DOI
Wei, Haihua; Xu, Jingshi Simultaneous approximations in Banach space-valued Bochner-Lebesgue spaces with variable exponent. (English) Zbl 1453.41009 Numer. Funct. Anal. Optim. 40, No. 1, 19-33 (2019). Reviewer: Cătălin Badea (Villeneuve d’Ascq) MSC: 41A65 41A28 46G10 PDF BibTeX XML Cite \textit{H. Wei} and \textit{J. Xu}, Numer. Funct. Anal. Optim. 40, No. 1, 19--33 (2019; Zbl 1453.41009) Full Text: DOI
Boyadzhiev, Khristo N. Evaluation of integrals by differentiation with respect to a parameter. (English) Zbl 1429.26013 Sci., Ser. A, Math. Sci. (N.S.) 28(2017-2018), 1-21 (2018). MSC: 26A42 30E20 33E20 PDF BibTeX XML Cite \textit{K. N. Boyadzhiev}, Sci., Ser. A, Math. Sci. (N.S.) 28, 1--21 (2018; Zbl 1429.26013) Full Text: Link arXiv
Tomás, Pérez-Becerra; Escamilla Reyna, Juan Alberto An integration by parts theorem for Kurzweil integrable vector-valued functions via Bochner integration. (English) Zbl 1424.28020 Southeast Asian Bull. Math. 42, No. 5, 683-690 (2018). MSC: 28B05 26A42 PDF BibTeX XML Cite \textit{P.-B. Tomás} and \textit{J. A. Escamilla Reyna}, Southeast Asian Bull. Math. 42, No. 5, 683--690 (2018; Zbl 1424.28020)
Galán-García, José L.; Aguilera-Venegas, Gabriel; Galán-García, María Á.; Rodríguez-Cielos, Pedro; Atencia-Mc. Killop, Iván Improving CAS capabilities: new rules for computing improper integrals. (English) Zbl 1426.26003 Appl. Math. Comput. 316, 525-540 (2018). MSC: 26-08 26A42 68W30 PDF BibTeX XML Cite \textit{J. L. Galán-García} et al., Appl. Math. Comput. 316, 525--540 (2018; Zbl 1426.26003) Full Text: DOI
Banerjee, Soumyarup; Kanemitsu, Shigeru Convolution formula as a Stieltjes resultant. (English) Zbl 1443.11162 Kyushu J. Math. 72, No. 2, 429-439 (2018). Reviewer: Mehdi Hassani (Zanjan) MSC: 11M06 11N37 26A42 30E20 PDF BibTeX XML Cite \textit{S. Banerjee} and \textit{S. Kanemitsu}, Kyushu J. Math. 72, No. 2, 429--439 (2018; Zbl 1443.11162) Full Text: DOI
Shirali, Satish A concise introduction to measure theory. (English) Zbl 1416.28002 Cham: Springer (ISBN 978-3-030-03240-1/pbk; 978-3-030-03241-8/ebook). x, 271 p. (2018). MSC: 28-01 28A33 28A50 28A35 26-01 26A42 PDF BibTeX XML Cite \textit{S. Shirali}, A concise introduction to measure theory. Cham: Springer (2018; Zbl 1416.28002) Full Text: DOI
Golovaneva, F. V.; Lilov, E. V.; Shabrov, S. A. The analogue of the formula of integration by parts on geometric graph. (Russian. English summary) Zbl 1401.26022 Vestn. Voronezh. Gos. Univ., Ser. Fiz. Mat. 2018, No. 1, 82-86 (2018). MSC: 26A42 PDF BibTeX XML Cite \textit{F. V. Golovaneva} et al., Vestn. Voronezh. Gos. Univ., Ser. Fiz. Mat. 2018, No. 1, 82--86 (2018; Zbl 1401.26022)
Gjonbalaj, Qefsere Doko; Hamiti, Valdete Rexhëbeqaj; Gjoka, Luigj Relations between differentiability and one-sided differentiability. (English) Zbl 1401.26005 Aust. J. Math. Anal. Appl. 15, No. 2, Article No. 10, 6 p. (2018). MSC: 26A24 26A42 PDF BibTeX XML Cite \textit{Q. D. Gjonbalaj} et al., Aust. J. Math. Anal. Appl. 15, No. 2, Article No. 10, 6 p. (2018; Zbl 1401.26005) Full Text: Link
Blecher, David P.; Labuschagne, Louis Ueda’s peak set theorem for general von Neumann algebras. (English) Zbl 06935869 Trans. Am. Math. Soc. 370, No. 11, 8215-8236 (2018). MSC: 46L51 46L52 47L75 47L80 03E10 03E35 03E55 46J15 46K50 47L45 PDF BibTeX XML Cite \textit{D. P. Blecher} and \textit{L. Labuschagne}, Trans. Am. Math. Soc. 370, No. 11, 8215--8236 (2018; Zbl 06935869) Full Text: DOI arXiv
Mondal, Pratikshan; Dey, Lakshmi Kanta; Jaker Ali, Sk. Equi-Riemann and equi-Riemann type integrable functions with values in a Banach space. (English) Zbl 06924891 Real Anal. Exch. 43, No. 2, 301-324 (2018). MSC: 26A42 28B05 46G10 PDF BibTeX XML Cite \textit{P. Mondal} et al., Real Anal. Exch. 43, No. 2, 301--324 (2018; Zbl 06924891) Full Text: DOI Euclid
Schinazi, Rinaldo B. From classical to modern analysis. (English) Zbl 1408.26001 Cham: Birkhäuser (ISBN 978-3-319-94582-8/hbk; 978-3-319-94583-5/ebook). xii, 270 p. (2018). Reviewer: Antonín Slavík (Praha) MSC: 26-01 28-01 PDF BibTeX XML Cite \textit{R. B. Schinazi}, From classical to modern analysis. Cham: Birkhäuser (2018; Zbl 1408.26001) Full Text: DOI
Papageorgiou, Nikolaos S.; Winkert, Patrick Applied nonlinear functional analysis. An introduction. (English) Zbl 1404.46001 De Gruyter Graduate. Berlin: De Gruyter (ISBN 978-3-11-051622-7/pbk; 978-3-11-053298-2/ebook). x, 612 p. (2018). Reviewer: Stefan Cobzaş (Cluj-Napoca) MSC: 46-01 47-01 28-01 54-01 47H04 47H05 49J50 49J52 PDF BibTeX XML Cite \textit{N. S. Papageorgiou} and \textit{P. Winkert}, Applied nonlinear functional analysis. An introduction. Berlin: De Gruyter (2018; Zbl 1404.46001) Full Text: DOI
Alomari, M. W.; Dragomir, S. S. A three-point quadrature rule for the Riemann-Stieltjes integral. (English) Zbl 1399.26016 Southeast Asian Bull. Math. 42, No. 1, 1-14 (2018). MSC: 26A42 26D15 PDF BibTeX XML Cite \textit{M. W. Alomari} and \textit{S. S. Dragomir}, Southeast Asian Bull. Math. 42, No. 1, 1--14 (2018; Zbl 1399.26016)
Kokilashvili, V.; Paatashvili, V. Riemann-Hilbert problem in the class of Cauchy type integrals with densities of grand Lebesgue spaces. (English) Zbl 06900949 Complex Var. Elliptic Equ. 63, No. 9, 1233-1257 (2018). MSC: 47B35 30E20 47B38 30E25 PDF BibTeX XML Cite \textit{V. Kokilashvili} and \textit{V. Paatashvili}, Complex Var. Elliptic Equ. 63, No. 9, 1233--1257 (2018; Zbl 06900949) Full Text: DOI
Kadets, Vladimir A course in functional analysis and measure theory. Translated from the Russian by Andrei Iacob. (English) Zbl 1408.46002 Universitext. Cham: Springer (ISBN 978-3-319-92003-0/pbk; 978-3-319-92004-7/ebook). xxii, 539 p. (2018). Reviewer: Dirk Werner (Berlin) MSC: 46-01 28-01 47-01 PDF BibTeX XML Cite \textit{V. Kadets}, A course in functional analysis and measure theory. Translated from the Russian by Andrei Iacob. Cham: Springer (2018; Zbl 1408.46002) Full Text: DOI
Simovici, Dan Mathematical analysis for machine learning and data mining. (English) Zbl 1396.68005 Hackensack, NJ: World Scientific (ISBN 978-981-3229-68-6/hbk; 978-981-3229-70-9/ebook). xv, 968 p. (2018). Reviewer: Irina Ioana Mohorianu (Oxford) MSC: 68-02 68T05 PDF BibTeX XML Cite \textit{D. Simovici}, Mathematical analysis for machine learning and data mining. Hackensack, NJ: World Scientific (2018; Zbl 1396.68005) Full Text: DOI
Kappeler, Thomas; Molnar, Jan On the wellposedness of the KdV equation on the space of pseudomeasures. (English) Zbl 1393.37078 Sel. Math., New Ser. 24, No. 2, 1479-1526 (2018). Reviewer: Evgeniy Panov (Novgorod) MSC: 37K10 35Q53 35D30 PDF BibTeX XML Cite \textit{T. Kappeler} and \textit{J. Molnar}, Sel. Math., New Ser. 24, No. 2, 1479--1526 (2018; Zbl 1393.37078) Full Text: DOI arXiv
Tarcsay, Zsigmond; Titkos, Tamás On the order structure of representable functionals. (English) Zbl 1396.46050 Glasg. Math. J. 60, No. 2, 289-305 (2018). MSC: 46L51 46K10 47L07 PDF BibTeX XML Cite \textit{Z. Tarcsay} and \textit{T. Titkos}, Glasg. Math. J. 60, No. 2, 289--305 (2018; Zbl 1396.46050) Full Text: DOI
Nielsen, Lance Combining continuous and discrete phenomena for Feynman’s operational calculus in the presence of a \((C_0)\) semigroup and Feynman-Kac formulas with Lebesgue-Stieltjes measures. (English) Zbl 1388.58006 Integral Equations Oper. Theory 90, No. 1, Paper No. 12, 61 p. (2018). Reviewer: Andrew Bucki (Edmond) MSC: 58D25 44A45 28C05 47D06 45D99 46G12 PDF BibTeX XML Cite \textit{L. Nielsen}, Integral Equations Oper. Theory 90, No. 1, Paper No. 12, 61 p. (2018; Zbl 1388.58006) Full Text: DOI
Tang, Jian-guo Computation of an infinite integral using integration by parts. (English) Zbl 1453.26004 Math. Methods Appl. Sci. 41, No. 3, 929-935 (2018). MSC: 26A06 26A42 41A60 65D30 PDF BibTeX XML Cite \textit{J.-g. Tang}, Math. Methods Appl. Sci. 41, No. 3, 929--935 (2018; Zbl 1453.26004) Full Text: DOI
Majidian, Hassan Automatic computing of oscillatory integrals. (English) Zbl 06857569 Numer. Algorithms 77, No. 3, 867-884 (2018). MSC: 65D30 41A45 PDF BibTeX XML Cite \textit{H. Majidian}, Numer. Algorithms 77, No. 3, 867--884 (2018; Zbl 06857569) Full Text: DOI
Krantz, Steven G. Elementary introduction to the Lebesgue integral. (English) Zbl 1392.26002 Textbooks in Mathematics. Boca Raton, FL: CRC Press (ISBN 978-1-138-48276-0/pbk; 978-1-351-05681-6/ebook). xii, 183 p. (2018). Reviewer: Andrey Zahariev (Plovdiv) MSC: 26-01 26A42 28A25 PDF BibTeX XML Cite \textit{S. G. Krantz}, Elementary introduction to the Lebesgue integral. Boca Raton, FL: CRC Press (2018; Zbl 1392.26002) Full Text: Link
Pérez Teruel, Ginés R. A new class of generalized Lanczos derivatives. (English) Zbl 1375.26011 Palest. J. Math. 7, No. 1, 211-221 (2018). MSC: 26A24 26E05 26A42 PDF BibTeX XML Cite \textit{G. R. Pérez Teruel}, Palest. J. Math. 7, No. 1, 211--221 (2018; Zbl 1375.26011) Full Text: Link
Stewart, Seán M. How to integrate it. A practical guide to finding elementary integrals. (English) Zbl 1404.26004 Cambridge: Cambridge University Press (ISBN 978-1-108-41881-2/hbk; 978-1-108-40819-6/pbk; 978-1-108-29150-7/ebook). xi, 368 p. (2018). Reviewer: Piotr Sworowski (Bydgoszcz) MSC: 26-01 26A42 65D30 PDF BibTeX XML Cite \textit{S. M. Stewart}, How to integrate it. A practical guide to finding elementary integrals. Cambridge: Cambridge University Press (2018; Zbl 1404.26004) Full Text: DOI
Jacob, Niels; Evans, Kristian P. A course in analysis. Volume III: Measure and integration theory, complex-valued functions of a complex variable. (English) Zbl 1381.28002 Hackensack, NJ: World Scientific (ISBN 978-981-3221-59-8/hbk). xxvi, 757 p. (2018). Reviewer: Sorin-Mihai Grad (Chemnitz) MSC: 28-01 30-01 28Axx 30Dxx PDF BibTeX XML Cite \textit{N. Jacob} and \textit{K. P. Evans}, A course in analysis. Volume III: Measure and integration theory, complex-valued functions of a complex variable. Hackensack, NJ: World Scientific (2018; Zbl 1381.28002) Full Text: DOI
Oden, John Tinsley; Demkowicz, Leszek F. Applied functional analysis. 3rd edition. (English) Zbl 1379.46001 Textbooks in Mathematics. Boca Raton, FL: CRC Press (ISBN 978-1-4987-6114-7/hbk; 978-1-4987-6116-1/ebook). xxi, 609 p. (2018). MSC: 46-01 28-01 47-01 PDF BibTeX XML Cite \textit{J. T. Oden} and \textit{L. F. Demkowicz}, Applied functional analysis. 3rd edition. Boca Raton, FL: CRC Press (2018; Zbl 1379.46001) Full Text: Link
Ponce, Augusto C.; van Schaftingen, Jean Gauge-measurable functions. (English) Zbl 1443.28001 Rend. Ist. Mat. Univ. Trieste 49, 113-135 (2017). MSC: 28A20 26A42 26B15 28A05 PDF BibTeX XML Cite \textit{A. C. Ponce} and \textit{J. van Schaftingen}, Rend. Ist. Mat. Univ. Trieste 49, 113--135 (2017; Zbl 1443.28001) Full Text: DOI
Rodríguez, José Open problems in Banach spaces and measure theory. (English) Zbl 1426.28026 Quaest. Math. 40, No. 6, 811-832 (2017). MSC: 28B05 28B20 46B26 46B50 46E30 46E40 PDF BibTeX XML Cite \textit{J. Rodríguez}, Quaest. Math. 40, No. 6, 811--832 (2017; Zbl 1426.28026) Full Text: DOI
Rahman, Gauhar; Baleanu, Dumitru; Al Qurashi, Maysaa; Purohit, Sunil Dutt; Mubeen, Shahid; Arshad, Muhammad The extended Mittag-Leffler function via fractional calculus. (English) Zbl 1412.33039 J. Nonlinear Sci. Appl. 10, No. 8, 4244-4253 (2017). MSC: 33E20 33C20 26A33 26A99 PDF BibTeX XML Cite \textit{G. Rahman} et al., J. Nonlinear Sci. Appl. 10, No. 8, 4244--4253 (2017; Zbl 1412.33039) Full Text: DOI
Liu, Wei; Ye, Guoju; Zhao, Dafang The distributional Henstock-Kurzweil integral and applications. II. (English) Zbl 1412.46032 J. Nonlinear Sci. Appl. 10, No. 1, 290-298 (2017). MSC: 46B42 47H10 26A42 46G12 PDF BibTeX XML Cite \textit{W. Liu} et al., J. Nonlinear Sci. Appl. 10, No. 1, 290--298 (2017; Zbl 1412.46032) Full Text: DOI
Galapon, Eric A. The problem of missing terms in term by term integration involving divergent integrals. (English) Zbl 1404.26013 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 473, No. 2197, Article ID 20160567, 18 p. (2017). MSC: 26A42 81Q30 44A15 PDF BibTeX XML Cite \textit{E. A. Galapon}, Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 473, No. 2197, Article ID 20160567, 18 p. (2017; Zbl 1404.26013) Full Text: DOI
Robdera, M. A.; Kagiso, D. N. Fundamental theorem of calculus in topological vector spaces. (English) Zbl 1403.28013 J. Math. Ext. 11, No. 2, 93-110 (2017). MSC: 28B05 28C15 28C20 46G05 46G10 46G12 PDF BibTeX XML Cite \textit{M. A. Robdera} and \textit{D. N. Kagiso}, J. Math. Ext. 11, No. 2, 93--110 (2017; Zbl 1403.28013)
Moonens, Laurent Integration, from Riemann to Kurzweil and Henstock. The progressive construction of the “modern” theories of the integral. With a preface by Jean Mawhin. (Intégration, de Riemann à Kurzweil et Henstock. La construction progressive des théories “modernes” de l’intégrale.) (French) Zbl 1397.26002 Références Sciences. Paris: Ellipses (ISBN 978-2-340-02000-9/pbk). xvi, 436 p. (2017). MSC: 26-01 26A42 28A50 PDF BibTeX XML Cite \textit{L. Moonens}, Intégration, de Riemann à Kurzweil et Henstock. La construction progressive des théories ``modernes'' de l'intégrale. Paris: Ellipses (2017; Zbl 1397.26002)
Hager, William W.; Hou, Hongyan; Rao, Anil V. Lebesgue constants arising in a class of collocation methods. (English) Zbl 1433.41009 IMA J. Numer. Anal. 37, No. 4, 1884-1901 (2017). MSC: 41A55 41A44 65D30 PDF BibTeX XML Cite \textit{W. W. Hager} et al., IMA J. Numer. Anal. 37, No. 4, 1884--1901 (2017; Zbl 1433.41009) Full Text: DOI
Kanovei, Vladimir; Katz, Mikhail A positive function with vanishing Lebesgue integral in Zermelo-Fraenkel set theory. (English) Zbl 1423.03180 Real Anal. Exch. 42, No. 2, 385-390 (2017). MSC: 03E25 28A25 PDF BibTeX XML Cite \textit{V. Kanovei} and \textit{M. Katz}, Real Anal. Exch. 42, No. 2, 385--390 (2017; Zbl 1423.03180) Full Text: DOI Euclid
Papadopoulos, Athanase Looking backward: from Euler to Riemann. (English) Zbl 1391.01004 Ji, Lizhen (ed.) et al., From Riemann to differential geometry and relativity. Cham: Springer (ISBN 978-3-319-60038-3/hbk; 978-3-319-60039-0/ebook). 1-94 (2017). Reviewer: Robert W. van der Waall (Amsterdam) MSC: 01A55 01A50 26A42 30-03 33C05 PDF BibTeX XML Cite \textit{A. Papadopoulos}, in: From Riemann to differential geometry and relativity. Cham: Springer. 1--94 (2017; Zbl 1391.01004) Full Text: DOI
Umarkhadzhiev, S. M. Integral operators with homogeneous kernels in grand Lebesgue spaces. (English. Russian original) Zbl 1384.45012 Math. Notes 102, No. 5, 710-721 (2017); translation from Mat. Zametki 102, No. 5, 775-788 (2017). Reviewer: Andrey Zahariev (Plovdiv) MSC: 45P05 26A33 PDF BibTeX XML Cite \textit{S. M. Umarkhadzhiev}, Math. Notes 102, No. 5, 710--721 (2017; Zbl 1384.45012); translation from Mat. Zametki 102, No. 5, 775--788 (2017) Full Text: DOI
Alomari, Mohammad W. Two-point Ostrowski’s inequality. (English) Zbl 1376.26017 Result. Math. 72, No. 3, 1499-1523 (2017). MSC: 26D15 26A42 26A45 65D30 65D32 PDF BibTeX XML Cite \textit{M. W. Alomari}, Result. Math. 72, No. 3, 1499--1523 (2017; Zbl 1376.26017) Full Text: DOI
Alvarez, Sébastien Gibbs \(u\)-states for the foliated geodesic flow and transverse invariant measures. (English) Zbl 1379.37072 Isr. J. Math. 221, No. 2, 869-940 (2017). Reviewer: Daniele Puglisi (Catania) MSC: 37D35 37D40 28A50 53C12 53D25 PDF BibTeX XML Cite \textit{S. Alvarez}, Isr. J. Math. 221, No. 2, 869--940 (2017; Zbl 1379.37072) Full Text: DOI
Kuo, F. Y.; Nuyens, D.; Plaskota, L.; Sloan, I. H.; Wasilkowski, G. W. Infinite-dimensional integration and the multivariate decomposition method. (English) Zbl 1370.65013 J. Comput. Appl. Math. 326, 217-234 (2017). MSC: 65D32 26B15 46E22 41A63 41A55 PDF BibTeX XML Cite \textit{F. Y. Kuo} et al., J. Comput. Appl. Math. 326, 217--234 (2017; Zbl 1370.65013) Full Text: DOI
Ananova, Anna; Cont, Rama Pathwise integration with respect to paths of finite quadratic variation. (Intégration trajectorielle par rapport à des trajectoires de variation quadratique finie.) (English. French summary) Zbl 1365.60056 J. Math. Pures Appl. (9) 107, No. 6, 737-757 (2017). MSC: 60H05 26B15 26A42 PDF BibTeX XML Cite \textit{A. Ananova} and \textit{R. Cont}, J. Math. Pures Appl. (9) 107, No. 6, 737--757 (2017; Zbl 1365.60056) Full Text: DOI
Forster, Otto Analysis 3. Measure and integration theory, integral theorems in \(\mathbb R^n\) with applications. 8th revised edtion. (Analysis 3. Maß- und Integrationstheorie, Integralsätze im \(\mathbb R^n\) und Anwendungen.) (German) Zbl 1360.26002 Aufbaukurs Mathematik. Wiesbaden: Springer Spektrum (ISBN 978-3-658-16745-5/pbk; 978-3-658-16746-2/ebook). viii, 312 p. (2017). MSC: 26-01 26B10 26B15 26B20 28A12 46E30 46F05 58A10 42A38 PDF BibTeX XML Cite \textit{O. Forster}, Analysis 3. Maß- und Integrationstheorie, Integralsätze im \(\mathbb R^n\) und Anwendungen. 8th revised edtion. Wiesbaden: Springer Spektrum (2017; Zbl 1360.26002) Full Text: DOI
Caponetti, Diana; Marraffa, Valeria; Naralenkov, Kirill On the integration of Riemann-measurable vector-valued functions. (English) Zbl 1379.26013 Monatsh. Math. 182, No. 3, 513-536 (2017). Reviewer: Bianca-Renata Satco (Suceava) MSC: 26A39 28B05 46G10 PDF BibTeX XML Cite \textit{D. Caponetti} et al., Monatsh. Math. 182, No. 3, 513--536 (2017; Zbl 1379.26013) Full Text: DOI
Frigon, Marlène; López Pouso, Rodrigo Theory and applications of first-order systems of Stieltjes differential equations. (English) Zbl 1361.34010 Adv. Nonlinear Anal. 6, No. 1, 13-36 (2017). Reviewer: Antonín Slavík (Praha) MSC: 34A12 34A34 26A24 34A36 34A37 PDF BibTeX XML Cite \textit{M. Frigon} and \textit{R. López Pouso}, Adv. Nonlinear Anal. 6, No. 1, 13--36 (2017; Zbl 1361.34010) Full Text: DOI
Talvila, Erik Higher order corrected trapezoidal rules in Lebesgue and Alexiewicz spaces. (English) Zbl 1424.26064 J. Class. Anal. 8, No. 1, 77-90 (2016). MSC: 26D15 26A39 41A55 65D30 PDF BibTeX XML Cite \textit{E. Talvila}, J. Class. Anal. 8, No. 1, 77--90 (2016; Zbl 1424.26064) Full Text: DOI arXiv
Gerver, Joseph L. A nice example of Lebesgue integration. (English) Zbl 1384.26030 Real Anal. Exch. 41, No. 2, 389-402 (2016). MSC: 26A42 26A15 26-04 PDF BibTeX XML Cite \textit{J. L. Gerver}, Real Anal. Exch. 41, No. 2, 389--402 (2016; Zbl 1384.26030) Full Text: DOI Euclid arXiv
Furdui, Ovidiu Multiple fractional part integrals and Euler’s constant. (English) Zbl 1389.26017 Miskolc Math. Notes 17, No. 1, 255-266 (2016). MSC: 26A42 26B15 40A30 PDF BibTeX XML Cite \textit{O. Furdui}, Miskolc Math. Notes 17, No. 1, 255--266 (2016; Zbl 1389.26017) Full Text: DOI
Fedorov, Dmitriĭ Leonidovich On the Riemann-Stieltjes double integral. (Russian. English summary) Zbl 1365.26014 Vestn. Udmurt. Univ., Mat. Mekh. Komp’yut. Nauki 26, No. 3, 366-378 (2016). MSC: 26B15 26A42 PDF BibTeX XML Cite \textit{D. L. Fedorov}, Vestn. Udmurt. Univ., Mat. Mekh. Komp'yut. Nauki 26, No. 3, 366--378 (2016; Zbl 1365.26014) Full Text: DOI MNR
Teschl, G. Book review of: R. L. Schilling, Maß und Integral. Eine Einführung für Bachelor-Studenten. (English) Zbl 1354.00044 Monatsh. Math. 181, No. 4, 997 (2016). MSC: 00A17 28-01 26A42 28A25 PDF BibTeX XML Cite \textit{G. Teschl}, Monatsh. Math. 181, No. 4, 997 (2016; Zbl 1354.00044) Full Text: DOI
Kokilashvili, Vakhtang; Meskhi, Alexander; Paatashvili, Vakhtang The Riemann boundary value problem in the class of Cauchy type integrals with densities of grand variable exponent Lebesgue spaces. (English) Zbl 1372.47038 Georgian Math. J. 23, No. 4, 551-558 (2016). Reviewer: Vladimir S. Pilidi (Rostov-na-Donu) MSC: 47B35 30E20 45P05 47B38 30E25 PDF BibTeX XML Cite \textit{V. Kokilashvili} et al., Georgian Math. J. 23, No. 4, 551--558 (2016; Zbl 1372.47038) Full Text: DOI
Blasco, Oscar Fourier analysis for vector-measures on compact abelian groups. (English) Zbl 1365.46038 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 110, No. 2, 519-539 (2016). Reviewer: Enrique Alfonso Sánchez-Pérez (València) MSC: 46G10 46E40 43A25 PDF BibTeX XML Cite \textit{O. Blasco}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 110, No. 2, 519--539 (2016; Zbl 1365.46038) Full Text: DOI
Uysal, Gumrah; Yilmaz, Mine Menekse; Ibikli, Ertan Approximation by radial type multidimensional singular integral operators. (English) Zbl 1346.41003 Palest. J. Math. 5, No. 2, 61-70 (2016). MSC: 41A35 41A25 41A63 26B15 PDF BibTeX XML Cite \textit{G. Uysal} et al., Palest. J. Math. 5, No. 2, 61--70 (2016; Zbl 1346.41003) Full Text: Link
Davenport, James H. Complexity of integration, special values, and recent developments. (English) Zbl 1434.68700 Greuel, Gert-Martin (ed.) et al., Mathematical software – ICMS 2016. 5th international conference, Berlin, Germany, July 11–14, 2016. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 9725, 485-491 (2016). MSC: 68W30 26A42 65D30 65Y20 PDF BibTeX XML Cite \textit{J. H. Davenport}, Lect. Notes Comput. Sci. 9725, 485--491 (2016; Zbl 1434.68700) Full Text: DOI
Sampedro, Juan Carlos Some unit square integrals. (English) Zbl 1347.26031 Ramanujan J. 40, No. 3, 541-555 (2016). MSC: 26B15 26A42 PDF BibTeX XML Cite \textit{J. C. Sampedro}, Ramanujan J. 40, No. 3, 541--555 (2016; Zbl 1347.26031) Full Text: DOI arXiv
Li, Aijuan; Sun, Zhongfeng; Qin, Huizeng Representation of a class of multiple fractional part integrals and their closed form. (English) Zbl 1381.26011 Integral Transforms Spec. Funct. 27, No. 7, 578-591 (2016). MSC: 26A42 26B15 40A30 PDF BibTeX XML Cite \textit{A. Li} et al., Integral Transforms Spec. Funct. 27, No. 7, 578--591 (2016; Zbl 1381.26011) Full Text: DOI
DiBenedetto, Emmanuele Real analysis. 2nd edition. (English) Zbl 1353.26001 Birkhäuser Advanced Texts. Basler Lehrbücher. New York, NY: Birkhäuser/Springer (ISBN 978-1-4939-4003-5/hbk; 978-1-4939-4005-9/ebook). xxxii, 596 p. (2016). Reviewer: Sergei V. Rogosin (Minsk) MSC: 26-01 28A35 46B25 28-01 46-01 PDF BibTeX XML Cite \textit{E. DiBenedetto}, Real analysis. 2nd edition. New York, NY: Birkhäuser/Springer (2016; Zbl 1353.26001) Full Text: DOI
Richter, Wolf-Dieter; Schicker, Kay Circle numbers of regular convex polygons. (English) Zbl 1380.52002 Result. Math. 69, No. 3-4, 521-538 (2016). Reviewer: Mowaffaq Hajja (Amman) MSC: 52A10 26B15 28A50 28A75 51M25 51F99 52A38 52C05 PDF BibTeX XML Cite \textit{W.-D. Richter} and \textit{K. Schicker}, Result. Math. 69, No. 3--4, 521--538 (2016; Zbl 1380.52002) Full Text: DOI
Sørevik, Tor; Nome, Morten A. Trigonometric interpolation on lattice grids. (English) Zbl 1341.65054 BIT 56, No. 1, 341-356 (2016). Reviewer: Manfred Tasche (Rostock) MSC: 65T40 42B05 65T50 PDF BibTeX XML Cite \textit{T. Sørevik} and \textit{M. A. Nome}, BIT 56, No. 1, 341--356 (2016; Zbl 1341.65054) Full Text: DOI
Tarcsay, Zsigmond Lebesgue decomposition for representable functionals on \(^\ast\)-algebras. (English) Zbl 1356.46049 Glasg. Math. J. 58, No. 2, 491-501 (2016). MSC: 46L51 47A67 46K10 PDF BibTeX XML Cite \textit{Z. Tarcsay}, Glasg. Math. J. 58, No. 2, 491--501 (2016; Zbl 1356.46049) Full Text: DOI
Loeb, Peter A. Real analysis. (English) Zbl 1350.26001 Basel: Birkhäuser/Springer (ISBN 978-3-319-30742-8/hbk; 978-3-319-30744-2/ebook). xii, 274 p. (2016). Reviewer: Ryszard Pawlak (Łódź) MSC: 26-01 28-01 00-01 PDF BibTeX XML Cite \textit{P. A. Loeb}, Real analysis. Basel: Birkhäuser/Springer (2016; Zbl 1350.26001) Full Text: DOI
Komornik, Vilmos Lectures on functional analysis and the Lebesgue integral. Translated from the French by the author. (English) Zbl 1350.46002 Universitext. London: Springer (ISBN 978-1-4471-6810-2/hbk; 978-1-4471-6811-9/ebook). xx, 403 p. (2016). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 46-01 28-01 41-01 47-01 PDF BibTeX XML Cite \textit{V. Komornik}, Lectures on functional analysis and the Lebesgue integral. Translated from the French by the author. London: Springer (2016; Zbl 1350.46002) Full Text: DOI
Martínez-Cervantes, Gonzalo Riemann integrability versus weak continuity. (English) Zbl 1353.46031 J. Math. Anal. Appl. 438, No. 2, 840-855 (2016). Reviewer: Hans Weber (Udine) MSC: 46G10 26E20 28B05 PDF BibTeX XML Cite \textit{G. Martínez-Cervantes}, J. Math. Anal. Appl. 438, No. 2, 840--855 (2016; Zbl 1353.46031) Full Text: DOI
Cieślak, Tomasz; Jamróz, Grzegorz Maximal dissipation in Hunter-Saxton equation for bounded energy initial data. (English) Zbl 1347.35162 Adv. Math. 290, 590-613 (2016). MSC: 35L65 37K10 35A02 PDF BibTeX XML Cite \textit{T. Cieślak} and \textit{G. Jamróz}, Adv. Math. 290, 590--613 (2016; Zbl 1347.35162) Full Text: DOI arXiv
Rindler, H. Book review of: J. Yeh, Problems and proofs in real analysis. Theory of measure and integration. (English) Zbl 1330.00017 Monatsh. Math. 179, No. 1, 161-163 (2016). MSC: 00A17 26-01 28-01 28Axx 26A42 00A07 PDF BibTeX XML Cite \textit{H. Rindler}, Monatsh. Math. 179, No. 1, 161--163 (2016; Zbl 1330.00017) Full Text: DOI
Paatashvili, V. Smirnov classes of analytic functions with variable exponent in multiply connected domains. (English) Zbl 1395.30056 Complex Var. Elliptic Equ. 61, No. 1, 29-41 (2016). MSC: 30H15 30E20 30E25 PDF BibTeX XML Cite \textit{V. Paatashvili}, Complex Var. Elliptic Equ. 61, No. 1, 29--41 (2016; Zbl 1395.30056) Full Text: DOI
Giordano, Paolo; Wu, Enxin Calculus in the ring of Fermat reals. I: Integral calculus. (English) Zbl 1358.26023 Adv. Math. 289, 888-927 (2016). Reviewer: Klaus Kaiser (Houston) MSC: 26E30 26A42 26E35 PDF BibTeX XML Cite \textit{P. Giordano} and \textit{E. Wu}, Adv. Math. 289, 888--927 (2016; Zbl 1358.26023) Full Text: DOI
Stonyakin, Fedor S. Applications of anticompact sets to analogs of Denjoy-Young-Saks and Lebesgue theorems. (English) Zbl 07238398 Eurasian Math. J. 6, No. 1, 115-122 (2015). MSC: 46G05 46G10 46T20 PDF BibTeX XML Cite \textit{F. S. Stonyakin}, Eurasian Math. J. 6, No. 1, 115--122 (2015; Zbl 07238398) Full Text: DOI MNR
Pouso, Rodrigo López; Rodríguez, Adrián A new unification of continuous, discrete and impulsive calculus through Stieltjes derivatives. (English) Zbl 1384.26024 Real Anal. Exch. 40(2014-2015), No. 2, 319-354 (2015). Reviewer: Mihai Turinici (Iaşi) MSC: 26A24 34A34 PDF BibTeX XML Cite \textit{R. L. Pouso} and \textit{A. Rodríguez}, Real Anal. Exch. 40, No. 2, 319--354 (2015; Zbl 1384.26024) Full Text: DOI Euclid
Jacobs, Bart; Westerbaan, Bram An effect-theoretic account of Lebesgue integration. (English) Zbl 1352.81011 Ghica, Dan (ed.), Proceedings of the 31st conference on the mathematical foundations of programming semantics (MFPS XXXI), Nijmegen, The Netherlands, June 22–25, 2015. Amsterdam: Elsevier. Electronic Notes in Theoretical Computer Science 319, 239-253, electronic only (2015). MSC: 81P10 03G12 26A42 28B15 PDF BibTeX XML Cite \textit{B. Jacobs} and \textit{B. Westerbaan}, Electron. Notes Theor. Comput. Sci. 319, 239--253 (2015; Zbl 1352.81011) Full Text: DOI
Jeong, Joo-Hee; Park, Jin-Woo; Rim, Seog-Hoon; Jin, Joung-Hee A note on the Lebesgue-Radon-Nikodym theorem with respect to weighted and twisted \(p\)-adic invariant integral on \(\mathbb Z_p\). (English) Zbl 1377.11122 Notes Number Theory Discrete Math. 21, No. 1, 10-17 (2015). MSC: 11S80 28A25 11B68 PDF BibTeX XML Cite \textit{J.-H. Jeong} et al., Notes Number Theory Discrete Math. 21, No. 1, 10--17 (2015; Zbl 1377.11122) Full Text: Link