Best orthogonal trigonometric approximations of the Nikol'skii-Besov-type classes of periodic functions of one and several variables

DOI10.15330/CMP.14.1.171-184OpenAlexW4283515390WikidataQ114006947 ScholiaQ114006947MaRDI QIDQ5053788

Oksana Volodymyrivna Fedunyk-Yaremchuk, Svitlana Borysivna Hembars'ka

Publication date: 7 December 2022

Published in: Carpathian Mathematical Publications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15330/cmp.14.1.171-184

zbMATH Keywords

orthowidthbest orthogonal trigonometric approximationNikol'skii-Besov-type classstep hyperbolic Fourier sum

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Best approximation, Chebyshev systems (41A50) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (1)

Characteristics of the linear and nonlinear approximations of the Nikol'skii-Besov-type classes of periodic functions of several variables

Cites Work

• Estimates of approximative characteristics of the classes $B^{\Omega}_{p,\theta}$ of periodic functions of several variables with given majorant of mixed moduli of continuity in the space $L_{q}$

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