Approximation by polynomials with respect to multiplicative systems in weighted \(L^p\)-spaces
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Publication:2352663
DOI10.1134/S0037446615010061zbMath1326.41013MaRDI QIDQ2352663
Publication date: 3 July 2015
Published in: Siberian Mathematical Journal (Search for Journal in Brave)
Bernstein inequality\(K\)-functionalJackson inequalitymultiplicative systemweighted \(L^p\)-spacegeneralized monotone sequence
Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Approximation by polynomials (41A10)
Related Items (3)
Polynomial approximation with respect to multiplicative systems in the Morrey space ⋮ Several Questions of Approximation by Polynomials with Respect to Multiplicative Systems in Weighted Lp Spaces ⋮ Approximation by Vilenkin polynomials in weighted Orlicz spaces
Cites Work
- On generalized Walsh Fourier series
- Trigonometric series with general monotone coefficients
- On certain conditions in the theory of series with respect to multiplicative systems
- On the rate of convergence of Cesàro means of Walsh-Fourier series
- Littlewood-Paley and multiplier theorems on weighted spaces over locally compact Vilenkin groups
- Theorems on Fourier series and power series
- Weighted integral inequalities for the nontangential maximal function, Lusin area integral, and Walsh-Paley series
- Interpolation of Operators with Change of Measures
- On weighted L p integrability and approximation of trigonometric series
- Weighted Norm Inequalities for Vilenkin-Fourier Series
- Über die approximationstheoretische Charakterisierung gewisser Funktionenklassen mit Hilfe der Rieszschen Mittel von Fourierreihen
- Weighted Norm Inequalities for the Hardy Maximal Function
- Sur l'ordre de grandeur de l'approximation d'une fonction périodique par les sommes de Fejér
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