Lebesgue constants of the Walsh system and Banach limits
- 作者: Astashkin S.1, Semenov E.2
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隶属关系:
- Samara State University
- Voronezh State University
- 期: 卷 57, 编号 3 (2016)
- 页面: 398-410
- 栏目: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/170444
- DOI: https://doi.org/10.1134/S0037446616030034
- ID: 170444
如何引用文章
详细
We study the properties of the Lebesgue constants of the Walsh system Ln(W), n ∈ N, and apply the results to the theory of Banach limits. We show that the sequence \(\left\{ {\frac{{{L_n}\left( W \right)}}{{{{\log }_2}n}},n \geqslant 2} \right\}\) does not belong to the space of almost convergent sequences ac, which reveals their extremely irregular behavior. Several results of the opposite nature are obtained for some special means of these constants.
作者简介
S. Astashkin
Samara State University
编辑信件的主要联系方式.
Email: astash@samsu.ru
俄罗斯联邦, Samara
E. Semenov
Voronezh State University
Email: astash@samsu.ru
俄罗斯联邦, Voronezh
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