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Inverse theorems for the approximation of \((\psi{},\beta{})\)- differentiable functions

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Publication:1812671
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DOI10.1007/BF01058314zbMath0754.42002OpenAlexW2053069085MaRDI QIDQ1812671

A. I. Stepanets, E. I. Zhukina

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1007/bf01058314


zbMATH Keywords

trigonometric polynomialsinverse theoremsbest approximations\((\psi,\beta)\)-differentiable functions


Mathematics Subject Classification ID

Trigonometric approximation (42A10) Inverse theorems in approximation theory (41A27)


Related Items (4)

Transformation of Fourier series by means of general monotone sequences ⋮ Some approximation problems for \((\alpha,\psi)\)-differentiable functions in weighted variable exponent Lebesgue spaces ⋮ On the uniform convergence of Fourier series to \((\psi,\beta)\)-derivatives ⋮ Inverse theorems on the approximation of periodic functions with high generalized smoothness




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