Order estimates of best orthogonal trigonometric approximations of classes of infinitely differentiable functions

2018/12/16 by Stepanyuk, Tetiana
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1812.06475

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

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