Smoothness of functions in the metric spaces \(L_\Psi\)

DOI10.1007/S11253-013-0723-8zbMath1282.46030OpenAlexW2024689749MaRDI QIDQ352156

S. A. Pichugov

Publication date: 4 July 2013

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

Full work available at URL: https://doi.org/10.1007/s11253-013-0723-8

zbMATH Keywords

moduli of continuityapproximation by trigonometric polynomials

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) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Trigonometric approximation (42A10)

Related Items (2)

Approximation of periodic functions of many variables by functions of a smaller number of variables in Orlicz metric spaces ⋮ Imbedding theorems in metric spaces \(L_\psi\)

Cites Work

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• On the Jackson theorem for periodic functions in metric spaces with integral metric. II
• Inequalities for trigonometric polynomials in spaces with integral metric
• Inverse Jackson theorems in spaces with integral metric
• On the jackson theorem for periodic functions in spaces with integral metric
• Approximation of measurable periodic functions in measure by step functions
• ON INTEGRAL INEQUALITIES FOR TRIGONOMETRIC POLYNOMIALS AND THEIR DERIVATIVES

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