On the sharpness of Jackson's inequality in the spaces \(L_p\) on the half-line with power weight

DOI10.1134/S0001434615110048zbMath1334.41013OpenAlexW3105344828MaRDI QIDQ268075

Valeriĭ I. Ivanov

Publication date: 14 April 2016

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

Full work available at URL: https://doi.org/10.1134/s0001434615110048

zbMATH Keywords

modulus of continuitybest approximationentire functions of exponential typegeneralized shift operatorHoeffding estimateJackson's inequalitysubstochastic matrix

Mathematics Subject Classification ID

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

Related Items (2)

Unnamed Item ⋮ A sharp Jackson inequality in \(L_p (\mathbb{R}^d)\) with Dunkl weight

Cites Work

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• Jung constants of the \(\ell ^ n_ p\)-spaces
• Lower bound on constant in Jackson inequality in different \(L_ p\)- norms
• On the constant in the Jackson inequality for the space \(L^ p(-\infty,+\infty)\)
• On the relation between the Jackson and Jung constants of the spaces \(L_ p\)
• Approximation in \(L_ p\) by means of piecewise-constant functions
• Bessel harmonic analysis and approximation of functions on the half-line
• Inequalities: theory of majorization and its applications

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