Best approximations and moduli of smoothness of functions and their derivatives in \(L_p\), \(0 < p < 1\)

DOI10.1016/j.jat.2018.04.012zbMath1400.41007arXiv1612.08020OpenAlexW2564889165MaRDI QIDQ1635341

Yurii S. Kolomoitsev

Publication date: 6 June 2018

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.08020

zbMATH Keywords

splinessimultaneous approximationbest approximationmoduli of smoothnesstrigonometric and algebraic polynomials\(0 < p < 1\)spaces \(L_p\)

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Spline approximation (41A15) Simultaneous approximation (41A28)

Related Items (2)

Smoothness of functions versus smoothness of approximation processes ⋮ Properties of moduli of smoothness in \(L_p (\mathbb{R}^d)\)

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