On the uniform convergence of trigonometric series

DOI10.1134/S0001434607010294zbMath1183.42005MaRDI QIDQ2460539

Sergey Yu. Tikhonov

Publication date: 12 November 2007

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

uniform convergencetrigonometric serieslacunary sequenceAbel transformationmonotone (in the extended sense) sequencequasimonotone sequence

Mathematics Subject Classification ID

Convergence and absolute convergence of Fourier and trigonometric series (42A20)

Related Items (14)

Series formed by the moduli of blocks of terms of trigonometric series. A survey ⋮ Functions with general monotone Fourier coefficients ⋮ Embedding relations connected with strong approximation of Fourier series ⋮ A sufficient condition for uniform convergence of trigonometric series with \(p\)-bounded variation coefficients ⋮ Uniform convergence of trigonometric series with \(p\)-bounded variation coefficients ⋮ Uniform convergence of sine series with fractional-monotone coefficients ⋮ On weighted integrability of double sine series ⋮ Best approximation and moduli of smoothness: Computation and equivalence theorems ⋮ On \(L_1\)-convergence of Fourier series ⋮ Applications of general monotone sequences to strong approximation by Fourier series ⋮ Uniform convergence of double trigonometric integrals ⋮ A new class of numerical sequences and its applications to uniform convergence of sine series ⋮ Trigonometric approximation of functions in seminormed spaces ⋮ A necessary condition for uniform convergence of double sine series with $p$-bounded variation coefficients

Cites Work

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