On the domain of difference double sequence spaces of arbitrary orders-Reference-Cited by-同舟云学术

On the domain of difference double sequence spaces of arbitrary orders

Published:2021-10-10 Issue:4 Volume:41 Page:257-270
ISSN:0174-4747
Container-title:Analysis
language:en
Short-container-title:

Author:

Samantaray S.¹,Baliarsingh Pinakadhar²,Nayak L.¹

Affiliation:

1. Department of Mathematics , School of Applied Sciences , Kalinga Institute of Industrial Technology , Bhubaneswar 751024, Odisha , India

2. Institute of Mathematics and Applications , Bhubaneswar 751029, Odisha , India

Abstract

Abstract The prime objective of this paper is to define a new double difference operator with arbitrary order via which new classes of difference double sequences are introduced. Results on topological structures, dual spaces and four-dimensional matrix mappings related to the proposed difference double sequence spaces are discussed. As an application of this work, the proposed operator is being used to approximate partial derivatives of fractional orders. Some numerical examples are also given in support of the validity or the clear visualization of the results obtained.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Numerical Analysis,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/anly-2019-0034/pdf

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