TY - JOUR T1 - Some New Type of Difference Sequence Spaces Defined by Modulus Function and Statistical Convergence JO - Analysis in Theory and Applications VL - 1 SP - 19 EP - 26 PY - 2012 DA - 2012/03 SN - 28 DO - http://doi.org/10.4208/ata.2012.v28.n1.3 UR - https://global-sci.org/intro/article_detail/ata/4537.html KW - Strongly Cesàro summable sequence, modulus function, statistical convergence. AB -

In this article we introduce the difference sequence spaces $W_0[ f, \Delta m]$, $W_1[ f ,\Delta m]$,$W_\infty[ f ,\Delta m]$ and $S[f,\Delta m]$, defined by a modulus function $f$. We obtain a relation between $W_1[ f ,\Delta m]\cap l_\infty[ f ,\Delta m]$ and $S[ f ,\Delta m]\cap l_\infty[ f ,\Delta m]$ and prove some inclusion results.