Widths of functional classes defined by majorants of generalized moduli\n of smoothness in the spaces mathcal S^p

2020/05/12 by F. G. Аbdullayev, Abdullayev, Fahreddin, A. S. Serdyuk +3
Mathematics · #Mathematical Approximation and Integration

paper · pdf · doi:10.48550/arxiv.2005.05597

Abstract

Exact Jackson-type inequalities are obtained in terms of best approximations\nand averaged values of generalized moduli of smoothness in the spaces\n mathcal S^p. The values of Kolmogorov, Bernstein, linear, and projective\nwidths in the spaces mathcal S^p are found for classes of periodic\nfunctions defined by certain conditions on the averaged values of the\ngeneralized moduli of smoothness.\n

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