Khan, V.A. and Fatima, H. and Abdullah, S.A.A. and Alshlool, K.M.A.S.
(2017)
*On paranorm BVσ I-convergent double sequence spaces defined by an Orlicz function.*
Analysis (Germany), 37 (3).
pp. 157-167.
ISSN 1744747

Official URL: https://www.degruyter.com/view/j/anly.2017.37.issu...

## Abstract

The space BVσ was introduced and studied by Mursaleen [21]. In the present article we study the double sequence spaces 2(0BVI σ(M, p)), 2BVI σ(M, p) and 2(∞BVI σ(M, p)) with the help of the space BVσ and an Orlicz function M, where p = (pij) is the double sequence of strictly positive real numbers. We study some of its properties and prove some inclusion relations related to these new spaces. © 2017 Walter de Gruyter GmbH, Berlin/Boston.

Item Type: | Article |
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Uncontrolled Keywords: | Bounded variation; convergence free space; filter; I-convergence; I-null; ideal; invariant mean; Orlicz function; paranorm; sequence algebra; solid space; σ-Bounded variation |

Subjects: | Q Science > QA Mathematics |

Divisions: | Faculties > Faculty of Science > Department of Mathematics |

Depositing User: | AMU Library |

Date Deposited: | 07 Feb 2018 06:12 |

Last Modified: | 07 Feb 2018 07:37 |

URI: | http://ir.amu.ac.in/id/eprint/11178 |

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