Fourier series of higher-order Bernoulli functions and their applications

DOI10.1186/s13660-016-1282-yzbMath1371.11054OpenAlexW2569365425WikidataQ37562722 ScholiaQ37562722MaRDI QIDQ504549

Taekyun Kim, Dae San Kim, Dmitry V. Dolgy, Seong-Hoon Rim

Publication date: 17 January 2017

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-016-1282-y

zbMATH Keywords

Fourier seriesBernoulli polynomialsBernoulli functions

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Related Items

Fourier series of higher-order Daehee and Changhee functions and their applications, Fourier series of finite products of Bernoulli and Genocchi functions, Sums of finite products of Bernoulli functions, Sums of finite products of Genocchi functions, Fourier series of functions involving higher-order ordered Bell polynomials, Extension of Huygens type inequalities for Bessel and modified Bessel Functions, Series of sums of products of higher-order Bernoulli functions, Sums of Finite Products of Euler Functions, Construction of Fourier expansion of Apostol Frobenius-Euler polynomials and its applications, Fourier series of sums of products of Genocchi functions and their applications, Fourier series of sums of products of poly-Bernoulli functions and their applications, Fourier series of functions associated with higher-order Bernoulli polynomials, Fourier series of higher-order ordered Bell functions, Multivariable Faulhaber-type formulas and Barnes zeta functions, Fourier series of sums of products of ordered Bell and poly-Bernoulli functions, Fourier series of finite product of Bernoulli and ordered Bell functions

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