Direct and inverse theorems in approximation theory for periodic functions in S.B. Stechkin's papers and the development of these theorems
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Publication:643828
DOI10.1134/S0081543811050014zbMath1233.41004MaRDI QIDQ643828
Publication date: 2 November 2011
Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)
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
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- 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
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