On Some New Classes of $\mathcal{I}-$Convergent Sequences in GNLS

Khan, Vakeel A.; Rahman, Zahid; Esi, Ayhan; Kumar, Amit

doi:10.22130/scma.2023.1999309.1282

Document Type : Research Paper

Authors

¹ Department of Mathematics, Aligarh Muslim University, Aligarh-202002, India.

² Department of Mathematics, Faculty of Education, Patia University, Gardez, 2201, Afghanistan.

³ Department of Basic Eng.Sci.(Math.Sect.) Engineering Faculty, Malatya Turgut Ozal University, 44100, Malatya, Turkey.

⁴ Mathematics, Aligarh Muslim University

https://doi.org/10.22130/scma.2023.1999309.1282

Abstract

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.

Keywords

Main Subjects

Sequences, Series, Sumnability

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Sahand Communications in Mathematical Analysis

On Some New Classes of $\mathcal{I}-$Convergent Sequences in GNLS

References

References

Volume 21, Issue 2
March 2024
Pages 51-67

On Some New Classes of $\mathcal{I}-$Convergent Sequences in GNLS

References

References

Volume 21, Issue 2March 2024Pages 51-67

Volume 21, Issue 2
March 2024
Pages 51-67