Approximation properties of Fejér- and de la Valleé-Poussin-type means for partial sums of a special series in the system $ \{\sin x\sin kx\}_{k=1}^\infty$

DOI10.1070/SM2015V206N04ABEH004471zbMath1376.42039OpenAlexW2257423252MaRDI QIDQ5264440

I. I. Sharapudinov

Publication date: 27 July 2015

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm2015v206n04abeh004471

zbMATH Keywords

approximation propertiesFejér meansde la Valleé-Poussin meansspecial series in the system

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17)

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