Integrability of the majorants of Fourier sums and the divergence of Fourier series of functions with restrictions on the integral modulus of continuity.

DOI10.1023/B:MATN.0000049660.29081.BCzbMath1072.42003OpenAlexW2013504758MaRDI QIDQ556579

N. Yu. Antonov

Publication date: 21 June 2005

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

Full work available at URL: https://doi.org/10.1023/b:matn.0000049660.29081.bc

zbMATH Keywords

modulus of continuityDirichlet kernelFourier seriesLebesgue integralHardy estimateLagrange finite-increment formula

Mathematics Subject Classification ID

Convergence and absolute convergence of Fourier and trigonometric series (42A20) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Related Items (2)

Estimates for the growth order of sequences of multiple rectangular Fourier sums of integrable functions ⋮ Almost everywhere divergent subsequences of Fourier sums of functions from \(\varphi (L) \cap H_1^\omega\)

This page was built for publication: Integrability of the majorants of Fourier sums and the divergence of Fourier series of functions with restrictions on the integral modulus of continuity.