TY - JOUR
T1 - Some New Type of Difference Sequence Spaces Defined by Modulus Function and Statistical Convergence
AU - Ayhan Esi & Binod Chandra Tripathy
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 - <p style="text-align: justify;">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.</p>