A new class of numerical sequences and its applications to sine and cosine series
From MaRDI portal
Publication:1410402
DOI10.1023/A:1021717700626zbMath1026.42007OpenAlexW4249972740MaRDI QIDQ1410402
Publication date: 14 October 2003
Published in: Analysis Mathematica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1021717700626
Convergence and absolute convergence of Fourier and trigonometric series (42A20) Summability and absolute summability of Fourier and trigonometric series (42A24) Functions of bounded variation, generalizations (26A45) Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) (42A32)
Related Items (28)
Weighted integrability of double series with respect to multiplicative systems ⋮ Trigonometric series with general monotone coefficients ⋮ \(L^p\) integrability of trigonometric series with special varying coefficients ⋮ On the relationships of seven numerical sequences ⋮ On weighted \(L^p\) integrability of functions defined by trigonometric series ⋮ Some new conditions in Fourier analysis and applications ⋮ A sufficient condition for uniform convergence of trigonometric series with \(p\)-bounded variation coefficients ⋮ Uniform convergence of trigonometric series with \(p\)-bounded variation coefficients ⋮ Generalization of a theorem on Besov-Nikol'skiĭ classes ⋮ Ultimate generalization to monotonicity for uniform convergence of trigonometric series ⋮ Applications of MVBV condition in \(L^1\) integrability ⋮ A remark on the Abel's and Dirichlet's criterions concerning generalizations to monotonicity ⋮ Weighted integrability of double trigonometric series and of double series with respect to multiplicative systems with coefficients of class \({R_0^+BV S^2}\) ⋮ On the integrability with weight of trigonometric series ⋮ Embedding results pertaining to strong approximation of Fourier series. V ⋮ On certain conditions in the theory of series with respect to multiplicative systems ⋮ Two theorems using the bounded variation concept ⋮ A generalization of the monotonicity condition and applications ⋮ A newer class of numerical sequences and its applications to sine and cosine series ⋮ The weighted \(L^1\)-integrability of functions and the Parseval equality with respect to multiplicative systems ⋮ Trigonometric approximation in \(L_{p}\)-norm ⋮ Applications of general monotone sequences to strong approximation by Fourier series ⋮ Trigonometric series with a generalized monotonicity condition ⋮ On the integrability of trigonometric series ⋮ A new class of numerical sequences and its applications to uniform convergence of sine series ⋮ On weighted integrability of functions defined by trigonometric series with \(p\)-bounded variation coefficients ⋮ On weighted L p integrability and approximation of trigonometric series ⋮ Unnamed Item
This page was built for publication: A new class of numerical sequences and its applications to sine and cosine series
