Exact constants in direct and inverse approximation theorems for functions of several variables in the spaces Sp

Author:

Abdullayev Fahreddin1,Özkartepe Pelin2,Savchuk Viktor3,Shidlich Andrii3

Affiliation:

1. Kyrgyz-Turkish Manas University, Bishkek, Kyrgyz Republic + Mersin University, Mersin, Turkey

2. Gaziantep University, Gaziantep, Turkey

3. Institute of Mathematics of NAS of Ukraine, Kyiv, Ukraine

Abstract

In the paper, exact constants in direct and inverse approximation theorems for functions of several variables are found in the spaces Sp. The equivalence between moduli of smoothness and some K-functionals is also shown in the spaces Sp.

Publisher

National Library of Serbia

Subject

General Mathematics

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