On the Estimation of Strong Means of Fourier Series

• Date: 2015
• Main Authors: Pachulia, N. L., Пачулиа, Н. Л.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2015
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2023
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We study problem of $(λ, φ)$ -strong summation of number series by the regular method $λ$ with power summation of the function $φ$. The accumulated results are extended to the case of Fourier expansions in trigonometric functions $f ϵ L_p, p > 1$, where $C$ is the set of $2π$-periodic continu...