On the jackson theorem for periodic functions in spaces with integral metric

DOI10.1007/BF02514142zbMath0987.42002OpenAlexW1978534157MaRDI QIDQ2740371

S. A. Pichugov

Publication date: 16 September 2001

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

Full work available at URL: https://doi.org/10.1007/bf02514142

zbMATH Keywords

metric spacesapproximationtrigonometric polynomialsJackson theoremperiodic functionsintegral metric

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Harmonic analysis in several variables (42B99)

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Smoothness of functions in the metric spaces \(L_\Psi\) ⋮ Inverse Jackson theorems in spaces with integral metric ⋮ Approximation of periodic functions of many variables by functions of a smaller number of variables in Orlicz metric spaces ⋮ On the Jackson theorem for periodic functions in metric spaces with integral metric. II ⋮ Inequalities for trigonometric polynomials in spaces with integral metric

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