Some Tauberian theorems for the weighted mean method of summability of double sequence

• Date: 2023
• Main Authors: Totur, Ümit, Çanak, İbrahim
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2023
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/509
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.5 Let $p=(p_j)$ and $q=(q_k)$ be real sequences of nonnegative numbers with the property that $P_m=\sum _{j=0}^{m} p_j \neq 0$ and $Q_n=\sum _{k=0}^{n} q_k \neq 0$ for all $m$ and $n.$ Let $(P_m)$ and $(Q_n)$ be regulary varying positive indices. Assume that $(u_{mn})$ is a doub...