Convergence rate estimates for “spherical” partial sums of double Fourier series

DOI10.1134/S0965542513080022zbMath1299.42091OpenAlexW2069581813MaRDI QIDQ5413184

M. K. Kerimov, M. V. Abilov, Vladimir A. Abilov

Publication date: 28 April 2014

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542513080022

zbMATH Keywords

Fourier seriesgeneralized modulus of continuitySteklov's functionshear operator

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Cites Work

• A sharp inequality of Jackson-Stechkin type in \(L_{2}\) and the widths of functional classes
• Problems in the approximation of \(2\pi \)-periodic functions by Fourier sums in the space \(L_2 (2\pi)\)
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