Estimate of the approximation of periodic functions by negative Cesàro means

DOI10.1007/S10474-009-9119-5zbMath1274.42008OpenAlexW2031291809MaRDI QIDQ1945256

David Tsirekidze

Publication date: 5 April 2013

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-009-9119-5

zbMATH Keywords

summabilityCesàro meantrigonometric system

Mathematics Subject Classification ID

Convergence and absolute convergence of Fourier and trigonometric series (42A20) Summability and absolute summability of Fourier and trigonometric series (42A24)

Cites Work

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• On the degree of approximation of continuous functions
• On a question of convergence and Cesàro \((C,\alpha)\)-summability of trigonometric Fourier series
• On the strong approximation by the (\(C,\alpha\))-means of Fourier series. I
• On the strong approximation by the (C,x)-means of Fourier series. II
• On the compactness of embeddings of weighted Sobolev spaces on a domain with an irregular boundary.
• On the convergence of generalized Cesáro means of trigonometric Fourier series. I
• On the convergence of generalized Cesáro means of trigonometric Fourier series. II
• Estimate of the approximation of periodic functions by Fourier series
• Uniform convergence of Fourier series, IV

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