scientific article; zbMATH DE number 7310042

zbMath1457.42001MaRDI QIDQ5150382

I. A. Mart'yanov

Publication date: 15 February 2021

Full work available at URL: http://mathnet.ru/eng/cheb871

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zbMATH Keywords

algebraic polynomialtrigonometric polynomialGegenbauer weightNikolskii constant

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Trigonometric polynomials, inequalities, extremal problems (42A05)

Related Items (1)

Bounds of the Nikol'skii polynomial constants in \(L^p\) with Gegenbauer weight

Cites Work

• Certain extremal problem for nonnegative trigonometric polynomials
• 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
• On the best approximation of Dirichlet kernels
• Nikol'skii inequality between the uniform norm and \(L_q\)-norm with Jacobi weight of algebraic polynomials on an interval
• Nikol'skii type inequality; Bessel weight; extremal functions; extremal constants
• Nikolskii constants for polynomials on the unit sphere
• Sharp Markov-Nikol'skii inequality with respect to the uniform norm and the integral norm with Chebyshev weight
• A sharp Jackson inequality in \(L_p (\mathbb{R}^d)\) with Dunkl weight
• Fourier optimization and prime gaps
• On sharp constants in Bernstein-Nikolskii inequalities
• Positive \(L^p\)-bounded Dunkl-type generalized translation operator and its applications
• Certain problems of closest approximation
• Generalized analytic functions
• Константы Никольского в пространствах $L^{p}(\mathbb{R},|x|^{2\alpha+1}\,dx)$
• О взаимосвязи констант Никольского для тригонометрических полиномов и целых функций экспоненциального типа
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