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On the approximation by trigonometric polynomials in weighted Lorentz spaces

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Publication:969290
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DOI10.1155/2010/372106zbMath1185.42002OpenAlexW2108743270MaRDI QIDQ969290

Vakhtang Kokilashvili, Yunus Emre Yıldırır

Publication date: 6 May 2010

Published in: Journal of Function Spaces and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2010/372106

zbMATH Keywords

trigonometric polynomialsbest approximationweighted Lorentz spaces


Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Trigonometric approximation (42A10) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17)


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Estimates of the best approximations of the functions of the Nikol'skii-Besov class in the generalized space of Lorentz, Jackson and Stechkin type inequalities of trigonometric approximation inAp;q()w;#, Multivariate approximation theorems in weighted Lorentz spaces, On the trigonometric approximation of functions in weighted Lorentz spaces using Cesáro submethod



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