Sharp estimates for the convergence rate of double Fourier series in terms of orthogonal polynomials in the space L 2((a, b) × (c, d); p(x)q(y))

DOI10.1134/S0965542509080028zbMath1199.42047MaRDI QIDQ3652365

M. K. Kerimov, Vladimir A. Abilov

Publication date: 17 December 2009

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

Full work available at URL: http://www.maik.ru/abstract/commat/9/commat1298_abstract.pdf

zbMATH Keywords

orthogonal polynomialsdouble Fourier seriesgeneralized modulus of continuityconvergence rate estimate for double Fourier seriesKolmogorov \(N\) width

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Fourier series and coefficients in several variables (42B05)

Related Items (5)

Method of fast expansions for solving nonlinear differential equations ⋮ A generalization of the Riesz-Fischer theorem and linear summability methods ⋮ 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 ⋮ Estimates for the remainders of certain quadrature formulas

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