Widths of the classes   \( {B}_{p,\theta}^{\varOmega } \)   of periodic functions of many variables in the space  B  1 , 1

Mykhailo V. Hembars’kyi; Svitlana B. Hembars’ka

doi:10.1007/s10958-018-4056-x

Widths of the classes \( {B}_{p,\theta}^{\varOmega } \) of periodic functions of many variables in the space B_1,1

Authors: Hembars’kyi M.V.¹, Hembars’ka S.B.¹
Affiliations:
1. Lesya Ukrainka East-European National University
Issue: Vol 235, No 1 (2018)
Pages: 35-45
Section: Article
URL: https://journals.rcsi.science/1072-3374/article/view/242041
DOI: https://doi.org/10.1007/s10958-018-4056-x
ID: 242041

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Abstract
About the authors
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Abstract

We have obtained the exact-by-order estimates of Kolmogorov, linear, and trigonometric widths of the classes \( {B}_{p,\theta}^{\varOmega } \) of periodic functions of many variables in the space B_1,1 the norm in which is stronger than the L₁-norm.

Keywords

Kolmogorov width, linear width, trigonometric width, graduated hyperbolic cross, best approximation

About the authors

Mykhailo V. Hembars’kyi

Lesya Ukrainka East-European National University

Author for correspondence.
Email: hembarskyi@gmail.com
Ukraine, Lutsk

Svitlana B. Hembars’ka