Exact constants in Jackson-type inequalities for L 2-approximation on an axis

DOI10.1007/S11253-009-0192-2zbMath1224.41045OpenAlexW1973467932MaRDI QIDQ3076354

V. G. Doronin, A. A. Ligun

Publication date: 22 February 2011

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

Full work available at URL: https://doi.org/10.1007/s11253-009-0192-2

zbMATH Keywords

approximationentire functions of exponential typeJackson-type inequalityexact constant

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Best constants in approximation theory (41A44)

Related Items (9)

Exponential approximation in variable exponent Lebesgue spaces on the real line ⋮ Exact constants in Jackson-type inequalities for the best mean square approximation in \(L_2(\mathbb{R})\) and exact values of mean \(\nu\)-widths of the classes of functions ⋮ Best mean-square approximation of functions defined on the real axis by entire functions of exponential type ⋮ On some extremal problems of approximation theory of functions on the real axis. I ⋮ 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 ⋮ 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 \(L_2(\mathbb R)\) ⋮ Approximation by integral functions of finite degree in variable exponent Lebesgue spaces on the real axis ⋮ Generalized characteristics of smoothness and some extreme problems of the approximation theory of functions in the space \(L_2(\mathbb{R})\). I ⋮ Best mean-square approximations by entire functions of exponential type and mean \(\nu\)-widths of classes of functions on the line

This page was built for publication: Exact constants in Jackson-type inequalities for L 2-approximation on an axis