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

  • H. Altinok
  • M. Et
  • A. Gökhan


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 shown that if a sequence is strongly $u_q$ -Cesàro summable with respect to the modulus function, then it is $u_q$ -statistically convergent.
How to Cite
Altinok, H., M. Et, and A. Gökhan. “On Statistical Convergence of Vector-Valued Sequences Associated With Multiplier Sequences”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 58, no. 1, Jan. 2006, pp. 125–131, https://umj.imath.kiev.ua/index.php/umj/article/view/3439.
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