Sharp estimates for deviations of the Favard sums on classes of continuous periodic functions of two variables

DOI10.1007/BF01091993zbMath0475.42006OpenAlexW2073336194MaRDI QIDQ1159855

A. I. Stepanets

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1007/bf01091993

zbMATH Keywords

Favard kerneldouble Favard sum operator

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Best approximation, Chebyshev systems (41A50) Multidimensional problems (41A63) Rate of convergence, degree of approximation (41A25)

Cites Work

• Unnamed Item
• Approximation of periodic functions of two variables by Vallee-Poussin sums
• Exact upper bounds of the deviations of Bernstein sums from functions of Hölder classes
• On measures in a Hilbert space which are equivalent relative to groups of linear transformations

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