Approximation by some subsequences of matrix means

DOI10.1007/S10986-022-09557-WzbMath1484.42007OpenAlexW4210389759MaRDI QIDQ2113613

Xhevat Z. Krasniqi, Bogdan Szal, Włodzimierz Łenski

Publication date: 14 March 2022

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

Full work available at URL: https://doi.org/10.1007/s10986-022-09557-w

zbMATH Keywords

modulus of continuityFourier seriesconjugate functionrate of approximation

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Rate of convergence, degree of approximation (41A25) 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 the degree of approximation of functions belonging to the Lipschitz class by means of a conjugate series
• On the degree of approximation of functions belonging to the class Lip(alpha,p) by means of a conjugate series
• Trigonometric approximation of functions from \(L_{2\pi}^{p(x)}\)
• Approximation of periodic integrable functions in terms of modulus of continuity
• Slight extensions of some theorems on the rate of pointwise approximation of functions from some subclasses of <i>L^p</i>
• A NEW TYPE OF CESÀRO MEAN
• Degrees of the approximation of integrable functions by some special matrix means of fourier series
• Degree of approximation of conjugate of a function belonging to Lip\((\xi(t),p)\) class by matrix summability means of conjugate Fourier series.

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