Direct and inverse theorems in approximation theory for periodic functions in S.B. Stechkin's papers and the development of these theorems

DOI10.1134/S0081543811050014zbMath1233.41004MaRDI QIDQ643828

Valeriĭ I. Ivanov

Publication date: 2 November 2011

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

modulus of continuitybest approximationinverse inequalityJackson--Stechkin inequality

Mathematics Subject Classification ID

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

Related Items (4)

Positive \(L^p\)-bounded Dunkl-type generalized translation operator and its applications ⋮ Fractional smoothness in \(L^p\) with Dunkl weight and its applications ⋮ Точное неравенство Джексона в $L_p(\mathbb R^d)$ с весом Данкля ⋮ Properties of moduli of smoothness in \(L_p (\mathbb{R}^d)\)

Cites Work

• Unnamed Item
• Unnamed Item
• Decrease orders of the \(L^p\)-moduli of continuity \((0<p\leq\infty)\)
• The problem of A. F. Timan on the precise order of decrease of the best approximations
• On the exact constant in the Jackson-Stechkin inequality for the uniform metric
• Trigonometric approximation in the mean
• Smooth functions
• On moduli of smoothness and Fourier multipliers in L p , 0 < p< 1

This page was built for publication: Direct and inverse theorems in approximation theory for periodic functions in S.B. Stechkin's papers and the development of these theorems