On generalized characteristics of smoothness of functions and on average $\nu$-widths in the space $L_2(\mathbb{R})$

DOI10.15421/241902zbMath1485.41014OpenAlexW2963101831MaRDI QIDQ5014397

S. B. Vakarchuk, M. B. Vakarchuk

Publication date: 2 December 2021

Published in: Researches in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15421/241902

zbMATH Keywords

Fourier transformentire functiongeneralized modulus of continuitymajorantaverage \( \nu \)-width

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Cites Work

• Unnamed Item
• Jackson-type inequalities and widths of function classes in \(L_{2}\)
• A sharp inequality of Jackson-Stechkin type in \(L_{2}\) and the widths of functional classes
• On the best mean square approximations by entire functions of exponential type in \(L_2(\mathbb R)\) and mean \(\nu\)-widths of some functional classes
• Best mean square approximations by entire functions of finite degree on a straight line and exact values of mean widths of functional classes

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