On paranorm \(BV_\sigma\) I-convergent sequence spaces defined by an Orlicz function

Vakeel.A. Khan; Ayhan Esi; Mohd Shafiq

doi:10.14419/gjma.v2i2.2162

Article Details

On paranorm \(BV_\sigma\) I-convergent sequence spaces defined by an Orlicz function

Authors:

Vakeel.A. Khan | Ayhan Esi | Mohd Shafiq

Publisher:

Science Publishing Corporation

Journal:

Global Journal of Mathematical Analysis Vol.2 Issue 2, pp.28-43

Document Type:

Article

Publication Date:

3/2014

Document Language:

English

Document ID (Org No.):

2001385476

pISSN:

2307-9002

DOI:

10.14419/gjma.v2i2.2162

Keywords:

Bounded variation

Abstract:

 In this article we introduce and study \(_{0}BV^I_\sigma(M,p)\), \(BV^I_{\sigma}(M,p)\) and \(_{\infty}BV^I_{\sigma}(M,p)\) sequence spaces where \(p=(p_{k})\) is the sequence of strictly positive real numbers with the help of \(BV_\sigma\) space [see [23]] and an Orlicz function \(M\). We study some topological and algebraic properties and decompostion theorem. Further we prove some inclusion relations related to these new spaces.

Article Details

On paranorm \(BV_\sigma\) I-convergent sequence spaces defined by an Orlicz function

Authors: Vakeel.A. Khan | Ayhan Esi | Mohd Shafiq

Publisher: Science Publishing Corporation

Journal: Global Journal of Mathematical Analysis Vol.2 Issue 2, pp.28-43

Document Type: Article

Publication Date: 3/2014

Document Language: English

Document ID (Org No.): 2001385476

pISSN: 2307-9002

DOI: 10.14419/gjma.v2i2.2162

Bounded variation

Issues

Authors:

Vakeel.A. Khan | Ayhan Esi | Mohd Shafiq

Publisher:

Science Publishing Corporation

Journal:

Global Journal of Mathematical Analysis Vol.2 Issue 2, pp.28-43

Document Type:

Article

Publication Date:

3/2014

Document Language:

English

Document ID (Org No.):

2001385476

pISSN:

2307-9002

DOI:

10.14419/gjma.v2i2.2162