Approximations of classes of generalized Poisson integrals by Fourier sums in metrics of spaces L_s

2016/12/09 by A. S. Serdyuk, Serdyuk, A. S., T. A. Stepanyuk +1
Mathematics · #Advanced Harmonic Analysis Research #Approximation Theory and Sequence Spaces #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Approximation and Integration

paper · pdf · doi:10.48550/arxiv.1612.03012

openalex publication_date 2016/12/09 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

In metrics of spaces L_s, 1≤ s≤∞, we find asymptotic equalities for upper bounds of approximations by Fourier sums on classes of generalized Poisson integrals of periodic functions, which belong to unit ball of space L₁.

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