Approximation of classes of periodic functions of several variables with given majorant of mixed moduli of continuity

IF 1 Q1 MATHEMATICS

Carpathian Mathematical Publications Pub Date : 2021-12-30 DOI:10.15330/cmp.13.3.838-850

O. Fedunyk-Yaremchuk, S. Hembars’ka

引用次数: 0

Abstract

In this paper, we continue the study of approximation characteristics of the classes $B^{\Omega}_{p,\theta}$ of periodic functions of several variables whose majorant of the mixed moduli of continuity contains both exponential and logarithmic multipliers. We obtain the exact-order estimates of the orthoprojective widths of the classes $B^{\Omega}_{p,\theta}$ in the space $L_{q},$ $1\leq p

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具有给定连续混合模主量的多变量周期函数类的逼近

在本文中，我们继续研究了若干变量周期函数$B^{\Omega}_{p,\theta}$类的逼近特性，这些函数的连续性混合模的主模同时包含指数乘子和对数乘子。利用满足一定条件的线性算子，我们得到了在$L_{q},$$1\leq p

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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