Order Estimates of Best Orthogonal Trigonometric Approximations of Classes of Infinitely Differentiable Functions

DOI10.1007/978-3-030-37904-9_13zbMath1442.42009arXiv1812.06475OpenAlexW2904779840MaRDI QIDQ3296688

Tetiana A. Stepanyuk

Publication date: 1 July 2020

Published in: Trigonometric Sums and Their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.06475

zbMATH Keywords

Fourier seriesbest orthogonal trigonometric approximation\((\psi, \beta)\)-derivativeclasses of infinitely differentiable functions

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Best approximation, Chebyshev systems (41A50)

Cites Work

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• Estimations of the best approximations for the classes of infinitely differentiable functions in uniform and integral metrics
• Order estimates for the best orthogonal trigonometric approximations of the classes of convolutions of periodic functions of low smoothness
• Approximation by interpolation trigonometric polynomials on classes of periodic analytic functions
• Direct methods for the approximate solution of systems of singular integral equations in the case of nonnegative partial indices
• Estimates of the best <i>m</i>-term trigonometric approximations of classes of analytic functions
• Estimates for approximations by Fourier sums, best approximations and best orthogonal trigonometric approximations of the classes of (\psi, \beta)-differentiable functions
• Classification of infinitely differentiable periodic functions
• Approximation of classes of periodic functions of several variables

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