Estimates of approximative characteristics of the classes \( {B}_{p,\theta}^{\Omega} \) of periodic functions of many variables with given majorant of mixed continuity moduli in the space L


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Abstract

We obtain exact-order estimates of the approximation of the classes \( {B}_{p,\theta}^{\Omega} \) of periodic functions of several variables in the space L, by using operators of orthogonal projection, as well as linear operators subjected to some conditions.

About the authors

O. V. Fedunyk-Yaremchuk

L. Ukrainka East-European National University

Author for correspondence.
Email: fedunyk@ukr.net
Ukraine, Lutsk

K. V. Solich

L. Ukrainka East-European National University

Email: fedunyk@ukr.net
Ukraine, Lutsk


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