Isaac Scientific Publishing

Advances in Analysis

The Best Linear Approximation Methods of Analytic Functions in the disk and Exact Values of Widths of Some Classes Functions in Hardy Spaces

Download PDF (536.8 KB) PP. 28 - 36 Pub. Date: January 4, 2018

DOI: 10.22606/aan.2018.31004

Author(s)

  • Mirgand Shabozovich Shabozov*
    Institute of Mathematics, Academy of Science of Republic of Tajikistan, Dushanbe, Tajikistan
  • Gulzorkhon Amirshoevich Yusupov

    Tajik National University, Dushanbe, Tajikistan

Abstract

The best linear of approximation methods classes of analytic in the unit circle are constructed, and their averaged values of the moduli of continuity rth derivatives are majorised by a given function. The obtained results make it possible to calculate the exact values of different n-widths of classes of functions on the mentioned classes.

Keywords

Best linear approximation methods, classes of analytic functions, Hardy space, polynomial, modulus of smoothness, inequality, widths.

References

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