Best mean-square approximation of functions defined on the real axis by entire functions of exponential type

DOI10.1007/S11253-012-0671-8zbMath1259.41042OpenAlexW2006926587MaRDI QIDQ1933267

Yanyan Li

Publication date: 23 January 2013

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

Full work available at URL: https://doi.org/10.1007/s11253-012-0671-8

zbMATH Keywords

averaged smoothnessJackson-type inequalities

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17)

Related Items (4)

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 ⋮ Generalized characteristics of smoothness and some extreme problems of the approximation theory of functions in the space \(L_2(\mathbb{R})\). II ⋮ Generalized characteristics of smoothness and some extreme problems of the approximation theory of functions in the space \(L_2(\mathbb{R})\). I ⋮ Exact inequalities between the best polynomial approximations and averaged norms of finite differences in the \(B_2\) space and widths of some classes of functions

Cites Work

• Exact constants in Jackson-type inequalities for L 2-approximation on an axis
• Best mean square approximations by entire functions of finite degree on a straight line and exact values of mean widths of functional classes
• APPROXIMATION OF MONOTONE FUNCTIONS BY MONOTONE POLYNOMIALS
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