TY - JOUR
ID - 708513
TI - On Some New Classes of $\mathcal{I}-$Convergent Sequences in GNLS
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Khan, Vakeel A.
AU - Rahman, Zahid
AU - Esi, Ayhan
AU - Kumar, Amit
AD - Department of Mathematics, Aligarh Muslim University, Aligarh-202002, India.
AD - Department of Mathematics, Faculty of Education, Patia University, Gardez, 2201, Afghanistan.
AD - Department of Basic Eng.Sci.(Math.Sect.) Engineering Faculty, Malatya Turgut Ozal University, 44100, Malatya, Turkey.
AD - Mathematics, Aligarh Muslim University
Y1 - 2023
PY - 2023
VL -
IS -
SP -
EP -
KW - Gradual norm
KW - Gradual normed liner space
KW - Gradually I-convergent
KW - Gradually I-Cauchy
KW - Gradually I-bounded
DO - 10.22130/scma.2023.1999309.1282
N2 - This paper is devoted to study $\mathcal{I}$-convergent,$\mathcal{I-}$null, $\mathcal{I-}$bounded and bounded sequence spaces in gradual normed linear spaces, denoted by $c_{\| \cdot \|_G} ^\mathcal{I} ,c_{0 \| \cdot \|_G} ^\mathcal{I} ,\ell_{\infty \| \cdot \|_G} ^\mathcal{I}, \ell_{\infty \| \cdot\|_G}, m_{\| \cdot \|_G} ^\mathcal{I}$ and $m_{0 \| \cdot \|_G} ^\mathcal{I}$ respectively. We discussed some algebraic and topological properties of these classes. Also, we studied some inclusions involving these spaces.
UR - https://scma.maragheh.ac.ir/article_708513.html
L1 -
ER -