Order estimates of the best n-term orthogonal trigonometric approximations of the classes \cal F_q^ψ of periodic functions in the integral metrics

2013/02/28 by Andrii Shidlich, Andriy L. Shidlich, Shidlich, Andriy L.
Mathematics · #41A46 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #G.1.2 #Mathematical Approximation and Integration #Mathematical functions and polynomials #acm:41A46 #math.CA #msc:41A46

paper · pdf · doi:10.48550/arxiv.1302.7130

23 pages, in Russian

openalex publication_date 2013/02/28 · arxiv created 2013/03/03 · arxiv updated 2013/03/05 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

Abstract

We obtain order estimates in the spaces L_p of the best n-term trigonometric orthogonal approximations of the classes \cal F_q^ψ of periodic functions, whose Fourier coefficients decrease faster then any power function. We also obtain order estimates of the quantities of approximations by n-term Greedy approximants of such classes in the spaces L_p.

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