Approximation of periodic functions in certain sub-classes of Lp[0,2π]

DOI10.1142/S1793557117500462zbMath1376.42002OpenAlexW2528930413MaRDI QIDQ5370752

Uaday Singh, Soshal Saini

Publication date: 20 October 2017

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557117500462

zbMATH Keywords

modulus of continuityconjugate Fourier seriesmatrix means\(L^p(\omega)\beta\)-class

Mathematics Subject Classification ID

Trigonometric approximation (42A10)

Related Items (1)

Effectiveness of the even-type delayed mean in approximation of conjugate functions

Cites Work

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• Euler-Hausdorff matrix summability operator and trigonometric approximation of the conjugate of a function belonging to the generalized Lipschitz class
• Absolute Nörlund summability
• Slight extensions of some theorems on the rate of pointwise approximation of functions from some subclasses of <i>L^p</i>
• On the degrees of approximation of functions belonging to L^p (ω̃)_β class by matrix means of conjugate Fourier series
• The degree of approximation of functions, and their conjugates, belonging to several general Lipschitz classes, by Hausdorff matrix means of their Fourier series and conjugate series of their Fourier series

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