О взаимосвязи констант Никольского для тригонометрических полиномов и целых функций экспоненциального типа

DOI10.22405/2226-8383-2018-19-2-80-89zbMath1434.42002OpenAlexW2914231636MaRDI QIDQ5109631

I. A. Mart'yanov, Dmitry Gorbachev

Publication date: 13 May 2020

Published in: Чебышевский сборник (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/cheb640

zbMATH Keywords

entire function of exponential typetrigonometric polynomialChebyshev weightNikolskii constant

Mathematics Subject Classification ID

Trigonometric polynomials, inequalities, extremal problems (42A05) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (6)

On one generalized translation and the corresponding inequality of different metrics ⋮ Asymptotic behaviour of the error of polynomial approximation of functions like \(\vert x\vert^{\alpha+i\beta}\) ⋮ Estimates of the asymptotic Nikolskii constants for spherical polynomials ⋮ Sharp constants of approximation theory. I. Multivariate Bernstein-Nikolskii type inequalities ⋮ Bounds of the Nikol'skii polynomial constants in \(L^p\) with Gegenbauer weight ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Asymptotic behavior of Nikolskii constants for polynomials on the unit circle
• 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
• Inequality of different metrics for trigonometric polynomials
• \(L_p\) Christoffel functions, \(L_p\) universality, and Paley-Wiener spaces
• On sharp constants in Bernstein-Nikolskii inequalities
• An extremal problem for trigonometric polynomials

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