Lebesgue constants of the Walsh system and Banach limits
- Авторлар: Astashkin S.1, Semenov E.2
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Мекемелер:
- Samara State University
- Voronezh State University
- Шығарылым: Том 57, № 3 (2016)
- Беттер: 398-410
- Бөлім: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/170444
- DOI: https://doi.org/10.1134/S0037446616030034
- ID: 170444
Дәйексөз келтіру
Аннотация
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.
Негізгі сөздер
Авторлар туралы
S. Astashkin
Samara State University
Хат алмасуға жауапты Автор.
Email: astash@samsu.ru
Ресей, Samara
E. Semenov
Voronezh State University
Email: astash@samsu.ru
Ресей, Voronezh
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