Tauberian conditions under which convergence follows from the weighted mean summability and its statistical extension for sequences of fuzzy number

• Date: 2021
• Main Authors: Önder, Z., Çanak, İ., Önder, Zerrin, Çanak, İbrahim
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2021
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/584
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.5 Let $(p_n)$ be a sequence of nonnegative numbers such that $p_0>0$ and$$P_n:=\sum_{k=0}^{n}p_k\to\infty\qquad \text{as}\qquad n\to\infty.$$Let $(u_n)$ be a sequence of fuzzy numbers.The weighted mean of $(u_n)$ is defined by$$t_n:=\frac{1}{P_n}\sum_{k=0}^{n}p_ku_k\qquad \text{fo...