The direct theorem of the theory of approximation of periodic functions with monotone Fourier coefficients in different metrics

DOI10.1134/S0081543818090110zbMath1419.42002OpenAlexW2921000955MaRDI QIDQ2424184

N. A. Il'yasov

Publication date: 24 June 2019

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543818090110

zbMATH Keywords

modulus of smoothnessbest approximationdirect theorem in different metricsorder-optimal inequality on a classtrigonometric Fourier series with monotone coefficients

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) (42A32)

Related Items (1)

ORDER EQUALITIES IN DIFFERENT METRICS FOR MODULI OF SMOOTHNESS OF VARIOUS ORDERS

Cites Work

• On relations between moduli of continuity in different metrics
• Smooth functions
• EMBEDDING THEOREMS AND BEST APPROXIMATIONS
• On the Integral Moduli of Continuity in L p (1 < p < ∞) of Fourier Series with Monotone Coefficients
• THE IMBEDDING OF CERTAIN FUNCTION CLASSESH_p^ω
• IMBEDDING THEOREMS AND RELATIONS BETWEEN BEST APPROXIMATIONS (MODULI OF CONTINUITY) IN DIFFERENT METRICS
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