Nikol'skii type inequality; Bessel weight; extremal functions; extremal constants

DOI10.1007/s10476-018-0103-6zbMath1424.47026OpenAlexW2802290200WikidataQ115605372 ScholiaQ115605372MaRDI QIDQ1748006

Vitalii Arestov, Marina Valer'evna Deikalova, Ágota P. Horváth, A. G. Babenko

Publication date: 27 April 2018

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10476-018-0103-6

zbMATH Keywords

entire function of exponential typeNikol'skii-type inequalityBessel generalized translation

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Best constants in approximation theory (41A44)

Related Items (11)

ON ONE INEQUALITY OF DIFFERENT METRICS FOR TRIGONOMETRIC POLYNOMIALS ⋮ Translation beyond Delsarte ⋮ Константы Никольского в пространствах $L^{p}(\mathbb{R},|x|^{2\alpha+1}\,dx)$ ⋮ A generalized translation operator generated by the sinc function on an interval ⋮ On one generalized translation and the corresponding inequality of different metrics ⋮ Sharp constants of approximation theory. IV: Asymptotic relations in general settings ⋮ Sharp constants of approximation theory. II. Invariance theorems and certain multivariate inequalities of different metrics ⋮ Estimates of the asymptotic Nikolskii constants for spherical polynomials ⋮ Compactness criteria via Laguerre and Hankel transformations ⋮ Bounds of the Nikol'skii polynomial constants in \(L^p\) with Gegenbauer weight ⋮ Unnamed Item

Cites Work

• Sharp constants in V. A. Markov-Bernstein type inequalities of different metrics
• Nikol'skii inequality between the uniform norm and \(L_q\)-norm with ultraspherical weight of algebraic polynomials on an interval
• Nikol'skii inequality between the uniform norm and \(L_q\)-norm with Jacobi weight of algebraic polynomials on an interval
• On sharp constants in Bernstein-Nikolskii inequalities
• On Nikol'skii type inequality between the uniform norm and the integral \(q\)-norm with Laguerre weight of algebraic polynomials on the half-line
• On certain mean values of polynomials
• Entire functions that deviate least from zero in the uniform and the integral metrics with a weight
• L p Inequalities for Entire Functions of Exponential Type
• Nikolskii-type inequalities in connection with regular spectral measures
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Nikol'skii type inequality; Bessel weight; extremal functions; extremal constants