Several Questions of Approximation by Polynomials with Respect to Multiplicative Systems in Weighted Lp Spaces

DOI10.18500/1816-9791-2015-15-3-251-258zbMath1331.41005OpenAlexW3094007128MaRDI QIDQ2787923

T. V. Likhacheva, Sergey S. Volosivets

Publication date: 7 March 2016

Published in: Izvestiya of Saratov University. New Series. Series: Mathematics. Mechanics. Informatics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.18500/1816-9791-2015-15-3-251-258

zbMATH Keywords

best approximationVilenkin systemgeneralized derivativeZygmund-Riesz means

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Approximation by polynomials (41A10)

Related Items (1)

The Riesz-Zygmund sums of Fourier-Chebyshev rational integral operators and their approximation properties

Cites Work

• On dyadic analysis based on the pointwise dyadic derivative
• Approximation by polynomials with respect to multiplicative systems in weighted \(L^p\)-spaces
• On the fundamental approximation theorems of D. Jackson, S.N. Bernstein and theorems of M. Zamansky and S.B. Stechkin
• Weighted Norm Inequalities for Vilenkin-Fourier Series
• Weighted Norm Inequalities for the Hardy Maximal Function
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