On \(L^p\)-integrability of a special double sine series formed by its blocks

DOI10.3103/S106836231701006XzbMath1364.42004OpenAlexW2619687392MaRDI QIDQ528885

Xhevat Z. Krasniqi

Publication date: 17 May 2017

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s106836231701006x

zbMATH Keywords

function of bounded variationsine seriesseries by their blocks

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) Summability and absolute summability of Fourier and trigonometric series (42A24)

Cites Work

• Pointwise behavior of double Fourier series of functions of bounded variation
• On the properties of blocks of terms of the series \(\sum\frac{1}{k}\sin k\,x\)
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