Two-sided estimates of Lebesgue constants for spaces of functions of generalized bounded variation and Hölder spaces

DOI10.1016/J.JMAA.2024.128347MaRDI QIDQ6500076

E. I. Berezhnoi

Publication date: 10 May 2024

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Lebesgue constantsFourier seriesHölder spacespace of functions of generalized bounded variation

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Convergence and absolute convergence of Fourier and trigonometric series (42A20)

Cites Work

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• Spaces of functions of generalized bounded variation. I. ~Embedding theorems. Estimates for Lebesgue constants
• Two-sided estimates of the \(K\)-functional for spaces of functions of generalized bounded variation
• The Lebesgue constant for the space of functions of bounded p-variation
• On Orlicz sequence spaces. II
• An inequality of the Hölder type, connected with Stieltjes integration
• Polynomial Approximation and $\omega^r_\phi (f,t)$ Twenty Years Later
• On convergence of Fourier series of functions of generalized bounded variation

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