Jackson-type inequalities and widths of functional classes in the Musielak-Orlicz type spaces

2020/06/16 by F. G. Аbdullayev, Abdullayev, F. G., S. O. Chaichenko +5
Mathematics · #41A17 #42A32 #Advanced Harmonic Analysis Research #Approximation Theory and Sequence Spaces #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Approximation and Integration #Numerical Analysis (math.NA)

paper · pdf · doi:10.48550/arxiv.2006.09103

openalex publication_date 2020/06/16 · openalex created_date 2020/06/19 · openalex updated_date 2026/07/28

Abstract

In the Musielak-Orlicz type spaces \mathcal S_{\bf M}, exact Jackson-type inequalities are obtained in terms of best approximations of functions and the averaged values of their generalized moduli of smoothness. The values of Kolmogorov, Bernstein, linear, and projective widths in \mathcal S_{\bf M} are found for classes of periodic functions defined by certain conditions on the averaged values of the generalized moduli of smoothness.

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