Direct theorems on approximation of periodic functions with high generalized smoothness

DOI10.1134/S0001434623030185WikidataQ122960428 ScholiaQ122960428MaRDI QIDQ2699785

N. V. Laktionova, Konstantin V. Runovski

Publication date: 19 April 2023

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

zbMATH Keywords

Jackson inequalitybest approximationgeneralized derivativedirect theorem of approximation theory

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Classical almost periodic functions, mean periodic functions (42A75) Summability and absolute summability of Fourier and trigonometric series (42A24) Functions of a complex variable (30-XX)

Related Items (1)

Approximation of Periodic Functions of High Generalized Smoothness by Fourier Sums

Cites Work

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• Generalized smoothness and approximation of periodic functions in the spaces \(L_p\), \(1 < p < +\infty \)
• Embedding theorems in constructive approximation
• Best Trigonometric Approximation, Fractional Order Derivatives and Lipschitz Classes
• Multiplicator type operators and approximation of periodic functions of one variable by trigonometric polynomials

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