Bhandari, Narendra; Joshi, Yogesh A new proof of quadratic series of Au-Yeung and explicit evaluation of its alternating sum. (English) Zbl 07973053 Indian J. Pure Appl. Math. 55, No. 4, 1251-1260 (2024). MSC: 40C10 33B30 40G10 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Aizhen; Yang, Bicheng On a more accurate reverse Hardy-Hilbert’s inequality with two partial sums. (English) Zbl 07878701 J. Math. Inequal. 18, No. 1, 235-251 (2024). MSC: 26D15 26D10 47A05 × Cite Format Result Cite Review PDF Full Text: DOI
Frontczak, Robert; Kumari, Munesh; Prasad, Kalika New integrals involving a function associated with Euler-Maclaurin summation formula. (English) Zbl 1538.11062 Contrib. Math. 7, 11-14 (2023). MSC: 11B68 65B15 × Cite Format Result Cite Review PDF Full Text: DOI
Yaghobifar, M.; Shekarabi, F. Hosseini Constructing solutions of Cauchy type integral equations by using four kinds of basis. (English) Zbl 1525.45003 Comput. Math. Math. Phys. 63, No. 9, 1671-1680 (2023). MSC: 45E05 45L05 40A25 41A58 65R20 65B15 × Cite Format Result Cite Review PDF Full Text: DOI
Grigoriev, Andrey A.; Leinartas, Evgeniy K.; Lyapin, Alexander P. Summation of functions and polynomial solutions to a multidimensional difference equation. (English) Zbl 1533.39014 J. Sib. Fed. Univ., Math. Phys. 16, No. 2, 153-161 (2023). MSC: 39A70 40A25 40C15 11B68 × Cite Format Result Cite Review PDF Full Text: MNR
Han, Xue-Feng; Chen, Chao-Ping; Srivastava, Hari M. Asymptotic expansions for the Wallis sequence and some new mathematical constants associated with the Glaisher-Kinkelin and Choi-Srivastava constants. (English) Zbl 1524.41081 Appl. Anal. Discrete Math. 17, No. 1, 159-178 (2023). MSC: 41A60 11M06 40A05 × Cite Format Result Cite Review PDF Full Text: DOI
Brandolini, L.; Colzani, L.; Gariboldi, B.; Gigante, G.; Monguzzi, A. Euler-Maclaurin summation formula on polytopes and expansions in multivariate Bernoulli polynomials. (English) Zbl 1529.11038 J. Fourier Anal. Appl. 29, No. 3, Paper No. 33, 49 p. (2023). MSC: 11B68 65B15 42B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bringmann, Kathrin; Jennings-Shaffer, Chris; Mahlburg, Karl On a Tauberian theorem of Ingham and Euler-Maclaurin summation. (English) Zbl 1547.11102 Ramanujan J. 61, No. 1, 55-86 (2023). Reviewer: Sami Omar (Sukhair) MSC: 11M45 11P82 11B68 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Languasco, Alessandro A unified strategy to compute some special functions of number-theoretic interest. (English) Zbl 1533.33030 J. Number Theory 247, 118-161 (2023). MSC: 33F10 33F05 33B15 40A25 65D20 65B15 11M35 11M41 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Aizhen; Yong, Hong; Yang, Bicheng On a new half-discrete Hilbert-type inequality with the multiple upper limit function and the partial sums. (English) Zbl 07885975 J. Appl. Anal. Comput. 12, No. 2, 814-830 (2022). MSC: 26D15 × Cite Format Result Cite Review PDF Full Text: DOI
You, Minghui On the general form of discrete Hilbert-type inequality. (English) Zbl 1531.26012 Houston J. Math. 48, No. 3, 607-630 (2022). MSC: 26D15 26D10 47B38 × Cite Format Result Cite Review PDF Full Text: Link
Bebiano, Natália; Da Providência, João; Xu, Wei-Ru Approximations for the von Neumann and Rényi entropies of graphs with circulant type Laplacians. (English) Zbl 1511.05128 Electron. Res. Arch. 30, No. 5, 1864-1880 (2022). MSC: 05C50 94A17 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Fengong; Hong, Yong; Yang, Bicheng A refined Hardy-Littlewood-Polya inequality and the equivalent forms. (English) Zbl 1522.26018 J. Math. Inequal. 16, No. 4, 1477-1491 (2022). MSC: 26D15 26D10 47A05 × Cite Format Result Cite Review PDF Full Text: DOI
Pinelis, Iosif Approximating sums by integrals only: multiple sums and sums over lattice polytopes. (English) Zbl 1513.41014 Constr. Math. Anal. 5, No. 2, 72-92 (2022). MSC: 41A35 26D15 52B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Freeden, Willi Antenna problem induced regularization and sampling strategies. (English) Zbl 1492.35423 Jadamba, Baasansuren (ed.) et al., Deterministic and stochastic optimal control and inverse problems. Boca Raton, FL: CRC Press/Science Publishers. 319-353 (2022). MSC: 35R30 40A25 47A52 62D05 65B15 65J20 65N21 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Bicheng; Wu, Shanhe; Huang, Xingshou A reverse Hardy-Hilbert’s inequality involving one partial sum as the terms of double series. (English) Zbl 1503.26083 J. Funct. Spaces 2022, Article ID 2175463, 9 p. (2022). Reviewer: James Adedayo Oguntuase (Abeokuta) MSC: 26D15 26D10 × Cite Format Result Cite Review PDF Full Text: DOI
Leinartas, Evgeniy K.; Shishkina, Olga A. The Euler-Maclaurin formula in the problem of summation over lattice points of a simplex. (English) Zbl 1535.11135 J. Sib. Fed. Univ., Math. Phys. 15, No. 1, 108-113 (2022). MSC: 11P21 52B20 39A70 39A12 × Cite Format Result Cite Review PDF Full Text: DOI MNR
You, Minghui More accurate and strengthened forms of half-discrete Hilbert inequality. (English) Zbl 1503.26084 J. Math. Anal. Appl. 512, No. 2, Article ID 126141, 17 p. (2022). Reviewer: Wengui Yang (Sanmenxia) MSC: 26D15 33B15 × Cite Format Result Cite Review PDF Full Text: DOI
Lampret, Vito Simple derivation of the Euler-Boole type summation formula and examples of its use. (English) Zbl 1489.65003 Mediterr. J. Math. 19, No. 2, Paper No. 77, 20 p. (2022). MSC: 65B15 40A25 65B10 × Cite Format Result Cite Review PDF Full Text: DOI
Leinartas, Evgeniy Konstantinovich; Petrochenko, Maksim Evgenyevich Multidimensional analogues of the Euler-Maclaurin summation formula and the Borel transform of power series. (Russian. English summary) Zbl 1480.65006 Sib. Èlektron. Mat. Izv. 19, No. 1, 91-100 (2022). MSC: 65B15 32A15 × Cite Format Result Cite Review PDF Full Text: DOI
Choi, Junesang; Khan, Nabiullah; Usman, Talha Certain Laguerre-based generalized Apostol type polynomials. (English) Zbl 1479.33005 Tamkang J. Math. 53, No. 1, 59-74 (2022). MSC: 33C45 05A15 11B68 × Cite Format Result Cite Review PDF Full Text: DOI
Guo, Jihong; Liu, Yunpeng A modified Euler-Maclaurin formula in 1D and 2D with applications in statistical physics. (English) Zbl 1521.65003 Commun. Theor. Phys. 73, No. 7, Article ID 075002, 12 p. (2021). MSC: 65B15 11B68 81Q05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ghiyasi, Azar About the Stirling formula. (Russian. English summary) Zbl 1529.33004 Chebyshevskiĭ Sb. 22, No. 5(81), 350-353 (2021). MSC: 33B15 40A25 × Cite Format Result Cite Review PDF Full Text: DOI MNR Link
He, Bing; Zhong, Yanru; Yang, Bicheng On a more accurate Hilbert-type inequality involving the partial sums. (English) Zbl 1490.26025 J. Math. Inequal. 15, No. 4, 1647-1662 (2021). MSC: 26D15 × Cite Format Result Cite Review PDF Full Text: DOI
Gu, Zhaohui; Yang, Bicheng An extended Hardy-Hilbert’s inequality with parameters and applications. (English) Zbl 1489.26033 J. Math. Inequal. 15, No. 4, 1375-1389 (2021). MSC: 26D15 × Cite Format Result Cite Review PDF Full Text: DOI
Hu, S.; Kim, M.-S. Asymptotics of generalized partial theta functions with a Dirichlet character. (English) Zbl 1488.41081 Anal. Math. 47, No. 2, 311-328 (2021). Reviewer: Włodzimierz Łenski (Poznań) MSC: 41A60 11F27 11B68 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Thompson, Ian; Davies, Morris; Urbikain, Miren Karmele Analysis of series and products. II: The trapezoidal rule. (English) Zbl 1465.40002 Am. Math. Mon. 128, No. 3, 198-213 (2021). Reviewer: Antonio López-Carmona (Granada) MSC: 40A25 65B15 × Cite Format Result Cite Review PDF Full Text: DOI
Thompson, Ian; Davies, Morris; Urbikain, Miren Karmele Analysis of series and products. I: The Euler-Maclaurin formula. (English) Zbl 1465.40001 Am. Math. Mon. 128, No. 2, 115-124 (2021). Reviewer: Antonio López-Carmona (Granada) MSC: 40A25 65B15 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Chao-Ping Approximation formulas and inequalities for the Euler-Mascheroni constant. (English) Zbl 1468.11253 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 2, Paper No. 56, 19 p. (2021). MSC: 11Y60 41A60 × Cite Format Result Cite Review PDF Full Text: DOI
Alabdulmohsin, Ibrahim A Generalization of Classical Formulas in Numerical Integration and Series Convergence Acceleration. arXiv:2106.07621 Preprint, arXiv:2106.07621 [math.NA] (2021). MSC: 65B15 40A25 11B68 41A60 × Cite Format Result Cite Full Text: arXiv OA License
Yang, Bicheng; Wu, Shanhe; Chen, Qiang On an extended Hardy-Littlewood-Polya’s inequality. (English) Zbl 1484.26099 AIMS Math. 5, No. 2, 1550-1561 (2020). MSC: 26D15 × Cite Format Result Cite Review PDF Full Text: DOI
Kumar Sharma, Sunil; Khan, Waseem A.; Araci, Serkan; Ahmed, Sameh S. New type of degenerate Daehee polynomials of the second kind. (English) Zbl 1485.11049 Adv. Difference Equ. 2020, Paper No. 428, 14 p. (2020). MSC: 11B68 11B73 05A19 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Xing Shou; Luo, Ricai; Yang, Bicheng On a new extended half-discrete Hilbert’s inequality involving partial sums. (English) Zbl 1503.26055 J. Inequal. Appl. 2020, Paper No. 16, 14 p. (2020). MSC: 26D15 26D10 33B15 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Bicheng; Zhong, Yanru On a reverse Hardy-Littlewood-Polya’s inequality. (English) Zbl 1457.26021 J. Appl. Anal. Comput. 10, No. 5, 2220-2232 (2020). MSC: 26D15 47A05 × Cite Format Result Cite Review PDF Full Text: DOI
Draziotis, Konstantinos A.; Fikioris, George Asymptotic formulas for Vasyunin cotangent sums. (English) Zbl 1508.33001 Appl. Math. Comput. 383, Article ID 125380, 19 p. (2020). MSC: 33B10 11L03 11M06 41A60 11M26 × Cite Format Result Cite Review PDF Full Text: DOI
Lampret, Vito Simple effective estimation of a smooth alternating series. (English) Zbl 07179222 Bull. Malays. Math. Sci. Soc. (2) 43, No. 2, 1343-1356 (2020). MSC: 65B10 40A25 65B15 × Cite Format Result Cite Review PDF Full Text: DOI
Rządkowski, Grzegorz; Tohidi, Emran Convergence analysis of the generalized Euler-Maclaurin quadrature rule for solving weakly singular integral equations. (English) Zbl 1499.65766 Filomat 33, No. 6, 1801-1815 (2019). MSC: 65R20 45E99 26A33 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Ai-zhen; Yang, Bi-cheng; Chen, Qiang Equivalent properties of a reverse half-discrete Hilbert’s inequality. (English) Zbl 1499.26196 J. Inequal. Appl. 2019, Paper No. 279, 12 p. (2019). MSC: 26D15 26D10 × Cite Format Result Cite Review PDF Full Text: DOI
Popa, Dumitru The asymptotic evaluation of the sum \(\sum\limits_{k=1}^n f(\sqrt[n]{k})\). (English) Zbl 1439.40003 Gaz. Mat., Ser. A 37(116), No. 1-2, 6-13 (2019). MSC: 40A05 26A12 40A25 × Cite Format Result Cite Review PDF Full Text: Link
Bringmann, Kathrin; Kaszian, Jonas; Milas, Antun Vector-valued higher depth quantum modular forms and higher Mordell integrals. (English) Zbl 1470.11096 J. Math. Anal. Appl. 480, No. 2, Article ID 123397, 22 p. (2019). MSC: 11F37 11F22 11F27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Goto, S.; Tucker, R. W.; Walton, T. J. Aspects of quantum energy and stress in inhomogeneous unbounded dielectric continua. (English) Zbl 1421.35357 Rev. Math. Phys. 31, No. 1, Article ID 1950002, 50 p. (2019). MSC: 35Q61 40A25 65B15 78A50 78M99 81T55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Draščić Ban, Biserka Generalization of the quotient mean series. (English) Zbl 1432.40012 Result. Math. 74, No. 3, Paper No. 89, 12 p. (2019). MSC: 40G99 33E10 40B05 26D15 × Cite Format Result Cite Review PDF Full Text: DOI
Avdzhieva, Ana; Gushev, Vesselin; Nikolov, Geno Definite quadrature formulae of order three based on the compound midpoint rule. (English) Zbl 07062832 Nikolov, Geno (ed.) et al., Numerical methods and applications. 9th international conference, NMA 2018, Borovets, Bulgaria, August 20–24, 2018. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 11189, 227-234 (2019). MSC: 65-XX × Cite Format Result Cite Review PDF Full Text: DOI
Lu, Dawei; Wang, Xiaoguang; Xu, Ruiqing Some new exponential-function estimates of the Somos’ quadratic recurrence constant. (English) Zbl 1417.40003 Result. Math. 74, No. 1, Paper No. 6, 20 p. (2019). Reviewer: József Sándor (Cluj-Napoca) MSC: 40A25 40A05 40A20 65B10 65B15 × Cite Format Result Cite Review PDF Full Text: DOI
Kim, Min-Soo Some series involving the Euler zeta function. (English) Zbl 1424.11132 Turk. J. Math. 42, No. 3, 1166-1179 (2018). MSC: 11M35 33E20 33B15 11B68 × Cite Format Result Cite Review PDF Full Text: DOI
Araci, Serkan; Acikgoz, Mehmet Construction of Fourier expansion of Apostol Frobenius-Euler polynomials and its applications. (English) Zbl 1445.11015 Adv. Difference Equ. 2018, Paper No. 67, 14 p. (2018). MSC: 11B68 11B83 42A16 42B05 × Cite Format Result Cite Review PDF Full Text: DOI
Rządkowski, Grzegorz; Tohidi, Emran A fourth order product integration rule by using the generalized Euler-Maclaurin summation formula. (English) Zbl 1387.41017 J. Comput. Appl. Math. 335, 334-348 (2018). MSC: 41A55 42B20 65B15 65D30 × Cite Format Result Cite Review PDF Full Text: DOI
Choi, Junesang; Parmar, Rakesh K. An extension of the generalized Hurwitz-Lerch zeta function of two variables. (English) Zbl 1488.11125 Filomat 31, No. 1, 91-96 (2017). MSC: 11M06 11M35 33B15 33C60 11B68 33C05 33C90 × Cite Format Result Cite Review PDF Full Text: DOI
Can, Mümün; Dağli, Muhammet Cihat Character analogue of the Boole summation formula with applications. (English) Zbl 1424.65002 Turk. J. Math. 41, No. 5, 1204-1223 (2017). MSC: 65B15 11M06 11F20 11B68 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Vălean, Cornel Ioan A master theorem of series and an evaluation of a cubic harmonic series. (English) Zbl 1424.40045 J. Class. Anal. 10, No. 2, 97-107 (2017). MSC: 40G10 40A05 40A25 × Cite Format Result Cite Review PDF Full Text: DOI
Milovanović, Gradimir V. Summation formulas of Euler-Maclaurin and Abel-Plana: old and new results and applications. (English) Zbl 1369.65005 Govil, Narenda Kumar (ed.) et al., Progress in approximation theory and applicable complex analysis. In memory of Q.I. Rahman. Cham: Springer (ISBN 978-3-319-49240-7/hbk; 978-3-319-49242-1/ebook). Springer Optimization and Its Applications 117, 429-461 (2017). MSC: 65B15 33C45 33C47 41A55 65-04 65D30 65D32 × Cite Format Result Cite Review PDF Full Text: DOI
Candelpergher, Bernard Ramanujan summation of divergent series. (English) Zbl 1386.40001 Lecture Notes in Mathematics 2185. Cham: Springer (ISBN 978-3-319-63629-0/pbk; 978-3-319-63630-6/ebook). xxiii, 193 p. (2017). Reviewer: Khristo N. Boyadzhiev (Ada) MSC: 40-02 40D05 40G05 40G10 30B40 11M06 11M35 × Cite Format Result Cite Review PDF Full Text: DOI
Lampret, Vito Wallis’ sequence estimated accurately using an alternating series. (English) Zbl 1351.40003 J. Number Theory 172, 256-269 (2017). MSC: 40A25 41A60 11B83 65B15 × Cite Format Result Cite Review PDF Full Text: DOI
Popa, Dumitru The Euler-Maclaurin summation formula for functions of class \(C^3\). (English) Zbl 1411.65011 Gaz. Mat., Ser. A 34(113), No. 3-4, 1-11 (2016). MSC: 65B15 41A60 40A25 × Cite Format Result Cite Review PDF
Coppo, Marc-Antoine; Young, Paul Thomas On shifted Mascheroni series and hyperharmonic numbers. (English) Zbl 1409.11014 J. Number Theory 169, 1-20 (2016). MSC: 11B68 11M06 65B15 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Luo, Min-Jie; Raina, Ravinder Krishna A new extension of Carlson’s inequality. (English) Zbl 1337.26048 Math. Inequal. Appl. 19, No. 2, 417-424 (2016). MSC: 26D15 33C15 × Cite Format Result Cite Review PDF Full Text: DOI Link
You, Xu; Huang, Shouyou; Chen, Di-Rong Some new continued fraction sequence convergent to the Somos quadratic recurrence constant. (English) Zbl 1353.40001 J. Inequal. Appl. 2016, Paper No. 91, 10 p. (2016). MSC: 40A25 40A15 65B10 65B15 × Cite Format Result Cite Review PDF Full Text: DOI
Hu, Su; Kim, Daeyeoul; Kim, Min-Soo On reciprocity formula of Apostol-Dedekind sum with quasi-periodic Euler functions. (English) Zbl 1402.11064 J. Number Theory 162, 54-67 (2016). MSC: 11F20 11B68 65B15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shishkina, Olga A. The Euler-Maclaurin formula and differential operators of infinite order. (English) Zbl 1525.34120 J. Sib. Fed. Univ., Math. Phys. 8, No. 1, 86-93 (2015). MSC: 34L05 39A70 40A25 65B15 × Cite Format Result Cite Review PDF Full Text: MNR
Lampret, Vito Accurate double inequalities for generalized harmonic numbers. (English) Zbl 1410.11138 Appl. Math. Comput. 265, 557-567 (2015). MSC: 11Y60 33E20 33F05 40A25 41A60 65B10 65B15 × Cite Format Result Cite Review PDF Full Text: DOI
Jameson, G. J. O. Euler-Maclaurin, harmonic sums and Stirling’s formula. (English) Zbl 1384.40003 Math. Gaz. 99, No. 544, 75-89 (2015). MSC: 40A25 65B15 × Cite Format Result Cite Review PDF Full Text: DOI
Shishkina, Ol’ga Andreevna The Euler-Maclaurin formula for rational parallelotope. (Russian. English summary) Zbl 1348.65009 Izv. Irkutsk. Gos. Univ., Ser. Mat. 13, 56-71 (2015). MSC: 65B15 51M20 52B20 39A10 × Cite Format Result Cite Review PDF Full Text: Link
Peng, Daoyi; Liu, Hao The number of lattice points in Lamé curve. (Chinese. English summary) Zbl 1349.11133 J. Hangzhou Norm. Univ., Nat. Sci. 14, No. 6, 659-662 (2015). MSC: 11P21 × Cite Format Result Cite Review PDF Full Text: DOI
You, Minghui On a new discrete Hilbert-type inequality and its applications. (English) Zbl 1331.26048 Math. Inequal. Appl. 18, No. 4, 1575-1587 (2015). MSC: 26D15 × Cite Format Result Cite Review PDF Full Text: DOI
Lu, Dawei; Song, Zexi Some new continued fraction estimates of the Somos’ quadratic recurrence constant. (English) Zbl 1329.40003 J. Number Theory 155, 36-45 (2015). Reviewer: József Sándor (Cluj-Napoca) MSC: 40A25 40A15 65B10 65B15 × Cite Format Result Cite Review PDF Full Text: DOI
Wirths, Karl Joachim Telescoping estimates for smooth series. (English) Zbl 1309.26026 Can. Math. Bull. 58, No. 1, 188-195 (2015). MSC: 26D15 40A25 65B15 × Cite Format Result Cite Review PDF Full Text: DOI
Van Gorder, Robert A. Does the Riemann zeta function satisfy a differential equation? (English) Zbl 1382.11060 J. Number Theory 147, 778-788 (2015). MSC: 11M06 34A35 × Cite Format Result Cite Review PDF Full Text: DOI
Milovanović, Gradimir V. Methods for the computation of slowly convergent series and finite sums based on Gauss-Christoffel quadratures. (English) Zbl 1379.65002 Jaen J. Approx. 6, No. 1, 37-68 (2014). MSC: 65B10 65B15 65D32 41A55 40A25 × Cite Format Result Cite Review PDF
Lin, Gwo Dong; Dou, Xiaoling; Kuriki, Satoshi; Huang, Jin-Sheng Recent developments on the construction of bivariate distributions with fixed marginals. (English) Zbl 1351.62118 J. Stat. Distrib. Appl. 1, Paper No. 14, 23 p. (2014). MSC: 62H20 62G30 60E05 62E10 × Cite Format Result Cite Review PDF Full Text: DOI
Baricz, Árpád; Pogány, Tibor K. Properties of the product of modified Bessel functions. (English) Zbl 1323.33009 Milovanović, Gradimir V. (ed.) et al., Analytic number theory, approximation theory, and special functions. In honor of Hari M. Srivastava. New York, NY: Springer (ISBN 978-1-4939-0257-6/hbk; 978-1-4939-0258-3/ebook). 809-820 (2014). MSC: 33C10 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Qiliang; Yang, Bicheng On a more accurate multiple Hilbert-type inequality. (English) Zbl 1315.26024 Int. J. Nonlinear Anal. Appl. 5, No. 1, 71-79 (2014). MSC: 26D15 × Cite Format Result Cite Review PDF
Wei, Chuanan; Gong, Dianxuan Summation and product formulae on trigonometric functions. (English) Zbl 1309.33004 Util. Math. 95, 65-71 (2014). MSC: 33B10 11B68 × Cite Format Result Cite Review PDF
Butzer, P. L.; Dodson, M. M.; Ferreira, P. J. S. G.; Higgins, J. R.; Schmeisser, G.; Stens, R. L. Seven pivotal theorems of Fourier analysis, signal analysis, numerical analysis and number theory: their interconnections. (English) Zbl 1306.30009 Bull. Math. Sci. 4, No. 3, 481-525 (2014). MSC: 30D10 94A20 41A80 42A38 30D05 × Cite Format Result Cite Review PDF Full Text: DOI
Kim, Yong Sup; Pogány, Tibor K.; Rathie, Arjun K. On a reduction formula for the Kampé de Fériet function. (English) Zbl 1315.33017 Hacet. J. Math. Stat. 43, No. 1, 65-68 (2014). Reviewer: P. K. Banerji (Jodhpur) MSC: 33C70 33C15 33C20 33C65 × Cite Format Result Cite Review PDF
Chang, Fu-Chuen; Tsai, Jhong-Shin A limit theorem of \(D\)-optimal designs for weighted polynomial regression. (English) Zbl 1306.62182 J. Stat. Plann. Inference 154, 26-38 (2014). MSC: 62K05 62J02 60F05 × Cite Format Result Cite Review PDF Full Text: DOI
Luo, Qiu-Ming Unified integral representations for Bernoulli and Euler polynomials. (English) Zbl 1358.11039 Util. Math. 93, 249-256 (2014). MSC: 11B68 42A16 × Cite Format Result Cite Review PDF
Kirschenhofer, Peter; Larcombe, Peter J.; Fennessey, Eric J. The asymptotic form of the sum \(\sum^n_{i=0}i^p{n+i\choose i}\): two proofs. (English) Zbl 1290.05023 Util. Math. 93, 3-23 (2014). MSC: 05A19 05A15 × Cite Format Result Cite Review PDF
Rassias, Michael Th.; Yang, Bicheng On half-discrete Hilbert’s inequality. (English) Zbl 1329.26041 Appl. Math. Comput. 220, 75-93 (2013). MSC: 26D15 33B15 × Cite Format Result Cite Review PDF Full Text: DOI
Jakimczuk, Rafael Some applications of the Euler-Maclaurin summation formula. (English) Zbl 1285.11035 Int. Math. Forum 8, No. 1-4, 9-14 (2013). MSC: 11B68 × Cite Format Result Cite Review PDF Full Text: DOI Link Link
Lai, Alan; Teh, Kevin Spectral action for a one-parameter family of Dirac operators on \(\mathrm{SU}(2)\) and \(\mathrm{SU}(3)\). (English) Zbl 1286.83069 J. Math. Phys. 54, No. 2, 022302, 21 p. (2013). MSC: 83C60 83F05 53Z05 22E10 81V22 85A40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Freeden, Willi; Ostermann, Isabel Integration on three-dimensional regular regions based on (modified) Euler summation. (English) Zbl 1271.65044 Numer. Funct. Anal. Optim. 34, No. 6, 613-634 (2013). MSC: 65D32 41A55 41A63 65B15 × Cite Format Result Cite Review PDF Full Text: DOI
Gavrea, Ioan; Ivan, Mircea Optimal rate of convergence for sequences of a prescribed form. (English) Zbl 1323.40003 J. Math. Anal. Appl. 402, No. 1, 35-43 (2013). MSC: 40A25 11Y60 33B15 65B15 × Cite Format Result Cite Review PDF Full Text: DOI
Kuznetsov, A. Asymptotic approximations to the Hardy-Littlewood function. (English) Zbl 1253.41030 J. Comput. Appl. Math. 237, 603-613 (2013). MSC: 41A60 11L03 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hicken, J. E.; Zingg, D. W. Summation-by-parts operators and high-order quadrature. (English) Zbl 1263.65025 J. Comput. Appl. Math. 237, 111-125 (2013). Reviewer: Ana-Maria Acu (Sibiu) MSC: 65D32 41A55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Muñoz, Vicente; Pérez-Marco, Ricardo Poisson-Newton formulas and Dirichlet series. arXiv:1301.6511 Preprint, arXiv:1301.6511 [math.CV] (2013). MSC: 11M06 11M36 11F72 14G10 30B50 35J05 65B10 65B15 × Cite Format Result Cite Full Text: arXiv OA License
Lord, Nick Variations on a theme – Euler and the logsine integral. (English) Zbl 1383.26001 Math. Gaz. 96, No. 537, 451-458 (2012). MSC: 26-03 01A50 26A42 × Cite Format Result Cite Review PDF Full Text: DOI
Brauchart, Johann S.; Hardin, Douglas P.; Saff, Edward B. Discrete energy asymptotics on a Riemannian circle. (English) Zbl 1324.31006 Unif. Distrib. Theory 7, No. 2, 77-108 (2012). MSC: 31C45 30C40 30B40 65B15 × Cite Format Result Cite Review PDF Full Text: arXiv
Sidi, Avram Euler-Maclaurin expansions for integrals with arbitrary algebraic endpoint singularities. (English) Zbl 1271.30011 Math. Comput. 81, No. 280, 2159-2173 (2012). MSC: 30E15 40A25 41A60 65B15 65D30 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Qiliang; Yang, Bicheng; Debnath, Lokenath A multiple more accurate Hardy-Littlewood-Pólya inequality. (English) Zbl 1257.26019 Matematiche 67, No. 2, 93-105 (2012). MSC: 26D15 × Cite Format Result Cite Review PDF Full Text: Link
Lampret, Vito Estimating \(\pi \) easily and accurately. (English) Zbl 1269.11127 Int. J. Math. Anal., Ruse 6, No. 45-48, 2335-2344 (2012). MSC: 11Y60 40A25 97-01 × Cite Format Result Cite Review PDF Full Text: Link
Zhigljavsky, Anatoly Computing sums of conditionally convergent and divergent series using the concept of grossone. (English) Zbl 1254.03123 Appl. Math. Comput. 218, No. 16, 8064-8076 (2012). MSC: 03H05 40A05 × Cite Format Result Cite Review PDF Full Text: DOI
Zhou, Yu; Gao, Mingzhe A new extension on the Hardy-Hilbert inequality. (English) Zbl 1247.26044 Commun. Korean Math. Soc. 27, No. 3, 547-556 (2012). MSC: 26D15 × Cite Format Result Cite Review PDF Full Text: DOI
Sîntămărian, Alina Some new sequences that converge to a generalized Euler constant. (English) Zbl 1277.40003 Appl. Math. Lett. 25, No. 6, 941-945 (2012). Reviewer: Cristinel Mortici (Târgovişte) MSC: 40A05 33B15 11Y60 11B68 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Zhi-Guo Gauss summation and Ramanujan-type series for \(1/\pi\). (English) Zbl 1241.33005 Int. J. Number Theory 8, No. 2, 289-297 (2012). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 33C05 33B15 11Y55 65B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Srivastava, Rekha Some families of combinatorial and other series identities and their applications. (English) Zbl 1250.05025 Appl. Math. Comput. 218, No. 3, 1077-1083 (2011). MSC: 05A19 33B15 × Cite Format Result Cite Review PDF Full Text: DOI
Sîntămărian, Alina Sequences that converge quickly to a generalized Euler constant. (English) Zbl 1217.33004 Math. Comput. Modelling 53, No. 5-6, 624-630 (2011). MSC: 11Y60 11B68 33B15 40A25 × Cite Format Result Cite Review PDF Full Text: DOI
Butzer, P. L.; Ferreira, P. J. S. G.; Schmeisser, G.; Stens, R. L. The summation formulae of Euler-Maclaurin, Abel-Plana, Poisson, and their interconnections with the approximate sampling formula of signal analysis. (English) Zbl 1225.65007 Result. Math. 59, No. 3-4, 359-400 (2011). Reviewer: Cristinel Mortici (Targoviste) MSC: 65B15 65D32 94A20 94A12 × Cite Format Result Cite Review PDF Full Text: DOI
Lampret, Vito A double inequality for a generalized-Euler-constant function. (English) Zbl 1225.65008 J. Math. Anal. Appl. 381, No. 1, 155-165 (2011). Reviewer: Cristinel Mortici (Targoviste) MSC: 65B15 26D07 26D15 33C47 × Cite Format Result Cite Review PDF Full Text: DOI
Lampret, Vito Two generalized-Euler-constant functions estimated accurately. (English) Zbl 1218.33023 J. Comput. Anal. Appl. 13, No. 5, 857-874 (2011). MSC: 33E20 33F05 11Y60 40A05 40A25 65B15 × Cite Format Result Cite Review PDF
Lin, G. D.; Huang, J. S. Maximum correlation for the generalized Sarmanov bivariate distributions. (English) Zbl 1213.62093 J. Stat. Plann. Inference 141, No. 8, 2738-2749 (2011). MSC: 62H10 62H20 × Cite Format Result Cite Review PDF Full Text: DOI