Upper estimate of the best accuracy of derivative reconstruction based on the values of functions of Besov classes with mixed smoothness

2014/01/14 by S. N. Kudryavtsev, Kudryavtsev, S. N.
Mathematics · Medicine · #41A25 (Primary) 41A35 #41A45 #41A46 (Secondary) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Medical Imaging Techniques and Applications #math.CA #msc:41A25 #msc:41A35 #msc:41A45 #msc:41A46

paper · pdf · doi:10.48550/arxiv.1401.3087

39 pages, in russian

arxiv created 2014/01/14 · openalex publication_date 2014/01/14 · arxiv updated 2014/01/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The work provides an upper estimate of the best accuracy for the problem of reconstructing derivatives based on function values at a given number of points for the functions of Besov classes meeting the mixed Hoelder conditions. In some cases this estimate appears to be stronger than the earlier respective estimate obtained by the author in the problem being considered.

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