On a Class of Difference Sequences of Multiset Real Number Related to $\ell_p$-Space

Debnath, Amaresh; Dhar, Runu; Tripathy, B.C.

Indian Journal of Mathematics

On a Class of Difference Sequences of Multiset Real Number Related to $\ell_p$-Space

Author(s): Amaresh Debnath Amaresh Debnath Department of Mathematics,
Maharaja Bir Bikram University,
Agartala, India. debnathamaresh91@gmail.com , Runu Dhar Runu Dhar Department of Mathematics,
Maharaja Bir Bikram University,
Agartala, India. runu.dhar@gmail.com , B.C. Tripathy B.C. Tripathy Department of Mathematics,
Tripura University,
Agartala-799022, Tripura, India. tripathybc@gmail.com; tripathybc@yahoo.com

Vol. 67, No. 2 (2025) • pp. 267–279

Published 09-07-2026 Article History Received 13-01-2026 Revised 04-04-2026 Published 09-07-2026

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Abstract

In this article we introduce $m(\phi, n, \Delta)$, the class of differences sequences of multiset real numbers relating to $\ell_p$-space ($p \geq 1$). We have studied its different properties like linearity, completeness, solidity, symmetry, convexity, convergence free, sequence algebra etc. We have investigated its different properties. Also we have obtained some inclusion results involving this sequence space.

Keywords

Completeness; convexity; solid; symmetricity; sequence algebra; convergence free.

2020 Mathematics Subject Classification

40A05; 40A30; 40D05; 40F05; 40H05; 03E47; 03E75.

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Allahabad Mathematical Society

On a Class of Difference Sequences of Multiset Real Number Related to $\ell_p$-Space

Abstract

Keywords

2020 Mathematics Subject Classification

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