On the Jackson theorem for periodic functions in metric spaces with integral metric. II

DOI10.1007/s11253-012-0609-1zbMath1273.41011OpenAlexW2079903963MaRDI QIDQ1760017

S. A. Pichugov

Publication date: 23 November 2012

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

Full work available at URL: https://doi.org/10.1007/s11253-012-0609-1

zbMATH Keywords

approximationtrigonometric polynomialsJackson theoremdilation function

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Approximation by polynomials (41A10)

Related Items

Smoothness of functions in the metric spaces \(L_\Psi\) ⋮ Multiple modules of continuity and the best approximations of periodic functions in metric spaces ⋮ Approximation of periodic functions of many variables by functions of a smaller number of variables in Orlicz metric spaces ⋮ Inequalities for trigonometric polynomials in spaces with integral metric

Cites Work

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• On the jackson theorem for periodic functions in spaces with integral metric
• On Jackson type inequality in Orlicz classes

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