On difference sequence spaces of fractional-order involving Padovan numbers-Reference-Cited by-同舟云学术

On difference sequence spaces of fractional-order involving Padovan numbers

Published:2020-08-07 Issue:06 Volume:14 Page:2150095
ISSN:1793-5571
Container-title:Asian-European Journal of Mathematics
language:en
Short-container-title:Asian-European J. Math.

Author:

Yaying Taja¹,Hazarika Bipan²^ORCID,Mohiuddine Syed Abdul³⁴

Affiliation:

1. Department of Mathematics, Dera Natung Government College, Itanagar, Arunachal Pradesh, India

2. Department of Mathematics, Gauhati University, Gauhati-781014, Assam, India

3. Department of General Required Courses, Mathematics, Faculty of Applied Studies, King Abdulaziz University, Jeddah 21589, Saudi Arabia

4. Operator Theory and Applications Research Group, Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia

Abstract

In this paper, we introduce Padovan difference sequence spaces of fractional-order [Formula: see text] [Formula: see text] [Formula: see text] by the composition of the fractional-order difference operator [Formula: see text] and the Padovan matrix [Formula: see text] defined by [Formula: see text] and [Formula: see text] respectively, where the sequence [Formula: see text] is the Padovan sequence. We give some topological properties, Schauder basis and [Formula: see text]-, [Formula: see text]- and [Formula: see text]-duals of the newly defined spaces. We characterize certain matrix classes related to the [Formula: see text] space. Finally, we characterize certain classes of compact operators on [Formula: see text] using Hausdorff measure of noncompactness.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793557121500959

Reference50 articles.

1. On Some Euler Sequence Spaces of Nonabsolute Type

2. A unifying approach to the difference operators and their applications

3. Some new difference sequence spaces of fractional order and their dual spaces

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