Some New Type of Difference Sequence Spaces Defined by Modulus Function and Statistical Convergence
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@Article{ATA-28-19,
author = {},
title = {Some New Type of Difference Sequence Spaces Defined by Modulus Function and Statistical Convergence},
journal = {Analysis in Theory and Applications},
year = {2012},
volume = {28},
number = {1},
pages = {19--26},
abstract = {
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.
}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2012.v28.n1.3}, url = {http://global-sci.org/intro/article_detail/ata/4537.html} }
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.
Ayhan Esi & Binod Chandra Tripathy. (1970). Some New Type of Difference Sequence Spaces Defined by Modulus Function and Statistical Convergence.
Analysis in Theory and Applications. 28 (1).
19-26.
doi:10.4208/ata.2012.v28.n1.3
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