Classes of functions defined on the real axis and their approximations by entire functions. II

DOI10.1007/BF01071013zbMath0767.41026OpenAlexW4252930066MaRDI QIDQ1813645

A. I. Stepanets

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1007/bf01071013

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Approximation by operators (in particular, by integral operators) (41A35)

Related Items (6)

Approximation of locally integrable functions on the real line ⋮ Approximation of continuous functions given on the real axis by three-harmonic Poisson operators ⋮ On the moduli of continuity and fractional-order derivatives in the problems of best mean-square approximation by entire functions of the exponential type on the entire real axis ⋮ Approximating properties of biharmonic Poisson operators in the classes \(\widehat{L}_{\beta,1}^\psi\) ⋮ Jackson-type inequalities for the special moduli of continuity on the entire real axis and the exact values of mean \(\nu\)-widths for the classes of functions in the space \(L_2(\mathbb R)\) ⋮ Generalized characteristics of smoothness and some extreme problems of the approximation theory of functions in the space \(L_2(\mathbb{R})\). I

Cites Work

• Unnamed Item
• Entropy of the space of twice smooth curves in the Hausdorff metric
• Approximation by fourier operators of functions defined on the real line

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