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

Tetiana A. Stepanyuk ()
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Tetiana A. Stepanyuk: Graz University of Technology, Institute of Analysis and Number Theory

A chapter in Trigonometric Sums and Their Applications, 2020, pp 273-287 from Springer

Abstract: Abstract In this paper we establish exact order estimates for the best uniform orthogonal trigonometric approximations of the classes of 2π-periodic functions, whose (ψ, β)–derivatives belong to unit balls of spaces L p, 1 ≤ p

Keywords: Fourier series; Best orthogonal trigonometric approximation; Classes of infinitely differentiable functions; (ψ; β)-derivative (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-37904-9_13

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DOI: 10.1007/978-3-030-37904-9_13

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