2017
Том 69
№ 9

All Issues

On the Best Linear Methods of Approximation and the Exact Values of Widths for Some Classes of Analytic Functions in the Weighted Bergman Space

Langarshoev M. R.


Abstract

We find the exact values of the series of n-widths for the classes of functions from the Hardy and Bergman spaces whose averaged moduli of continuity are majorized by a given function obeying certain restrictions.

English version (Springer): Ukrainian Mathematical Journal 67 (2015), no. 10, pp 1537-1551.

Citation Example: Langarshoev M. R. On the Best Linear Methods of Approximation and the Exact Values of Widths for Some Classes of Analytic Functions in the Weighted Bergman Space // Ukr. Mat. Zh. - 2015. - 67, № 10. - pp. 1366-1379.