Trigonometric series with general monotone coefficients
type: Item
instance of: scholarly article
title: Trigonometric series with general monotone coefficients
zbMATH Open document ID: 1106.42003
author: Sergey Tikhonov
published in: Journal of Mathematical Analysis and Applications
publication date: 2007-01-09T00:00:00Z
Mathematics Subject Classification ID: 42A32
Mathematics Subject Classification ID: 42A20
Mathematics Subject Classification ID: 46E30
Mathematics Subject Classification ID: 42A16
zbMATH DE Number: 5083598
zbMATH Keywords: trigonometric series
zbMATH Keywords: convergence
zbMATH Keywords: Hardy-Littlewood theorem
MaRDI profile type: Publication
full work available at URL: j.jmaa.2006.02.053
OpenAlex ID: W1990977484
cites work: Integrability theorems for Fourier series
cites work: Remarks on the convergence (boundedness) in the mean of partial sums of a trigonometric series
cites work: Q4726487
cites work: Q5521650
cites work: Quasi-Positive Sequences and Trigonometric Series†
cites work: Uniform convergence of double trigonometric series
cites work: Asymptotic behavior of trigonometric series with \(O\)-regularly varying quasimonotone coefficients
cites work: Asymptotic behavior of trigonometric series with \(O\)-regularly varying quasimonotone coefficients. II
cites work: Some Theorems Concerning Trigonometrical Series of a Special Type
cites work: Necessary and Sufficient Conditions for L 1 Convergence of Trigonometric Series
cites work: On L 1 -Convergence of Fourier Series with Quasi-Monotone Coefficients
cites work: Notes on the Theory of Series (XIII): Some New Properties of Fourier Constants
cites work: On the uniform convergence and boundedness of a certain class of sine series
cites work: A new class of numerical sequences and its applications to sine and cosine series
cites work: Q4415425
cites work: Q3155730
cites work: On Double Cosine, Sine, and Walsh Series with Monotone Coefficients
cites work: Concerning the Generalization of the Young-Hausdorff Theorem and the Hardy-Littlewood Theorems on Fourier Constants
cites work: On the uniform convergence of sine series with quasimonotone coefficients
cites work: On trigonometric series with quasimonotone coefficients
cites work: Q5787491
cites work: Trigonometric Series with Quasi-Monotone Coefficients
cites work: Quasi-Monotone Series
cites work: L 1 -Convergence of Fourier Series with Complex Quasimonotone Coefficients
cites work: L\({}^ 1\)-convergence of Fourier series with O-regularly varying quasimonotonic coefficients
cites work: Q5754097
cites work: On the convergence in the L-metric of Fourier series with quasi-monotone coefficients
cites work: On generalized Lipschitz classes and Fourier series
cites work: Q3320864
cites work: The uniform convergence of certain trigonometric series
cites work: On certain trigonometric series
cites work: L1-approximation of Fourier series of complex-valued functions
cites work: Q4797357
DOI: 10.1016/J.JMAA.2006.02.053
description: scientific article; zbMATH DE number 5083598