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Sharp estimates for the convergence rate of “hyperbolic” partial sums of double fourier series in orthogonal polynomials

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Publication:2836764
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DOI10.1134/S0965542512110024zbMath1274.42065MaRDI QIDQ2836764

M. K. Kerimov, Vladimir A. Abilov

Publication date: 3 July 2013

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


zbMATH Keywords

double Fourier seriesbest approximationgeneralized modulus of continuitygeneralized shift operatorhyperbolic partial sums


Mathematics Subject Classification ID

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


Related Items (2)

Sharp estimates for the rate of convergence of double Fourier series in classical orthogonal polynomials ⋮ Sharp estimates for the convergence rate of Fourier series in two variables and their applications






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