On statistical convergence of vector-valued sequences associated with multiplier sequences

• Date: 2006
• Main Authors: Altinok, H., Et, M., Gökhan, A., Алтінок, Х., Ет, М., Гекхан, А.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2006
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3439
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We introduce vector-valued sequence spaces $w_{\infty}(F, Q, p, u), w_{1}(F, Q, p, u), w_{0}(F, Q, p, u), S^q_u$ and $S^q_{0u}$, using a sequence of modulus functions and a multiplier sequence $u = (u_k)$ of nonzero complex numbers. We give some relations for these sequence spaces. It is also show...