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

作者: Hembars’kyi M.¹, Hembars’ka S.¹
隶属关系:
1. Lesya Ukrainka East-European National University
期: 卷 235, 编号 1 (2018)
页面: 35-45
栏目: 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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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.

关键词

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

作者简介

Mykhailo Hembars’kyi

Lesya Ukrainka East-European National University

编辑信件的主要联系方式.
Email: hembarskyi@gmail.com
乌克兰, Lutsk

Svitlana Hembars’ka

Lesya Ukrainka East-European National University

Email: hembarskyi@gmail.com
乌克兰, Lutsk

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Widths of the classes \( {B}_{p,\theta}^{\varOmega } \) of periodic functions of many variables in the space B1,1

全文:

详细

关键词

作者简介

Mykhailo Hembars’kyi

Svitlana Hembars’ka

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