A study on q-analogue of Catalan sequence spaces-Reference-Cited by-同舟云学术

A study on q-analogue of Catalan sequence spaces

Published:2023 Issue:3 Volume:37 Page:839-850
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Yaying Taja¹,Kara Merve²,Hazarika Bipan³,Kara Emrah²

Affiliation:

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

2. Department of Mathematics, Düzce University, Düzce, Turkey

3. Department of Mathematics, Gauhati University, Gauhati, Assam, India

Abstract

In this study, we construct q-analog C(q) of Catalan matrix and study the sequence spaces c0(C(q)) and c(C(q)) defined as the domain of q-Catalan matrix C(q) in the spaces c0 and c, respectively. We exhibit some topological properties, obtain Schauder bases and determine ?-, ?-, and ?-duals of the spaces c0(C(q)) and c(C(q)). Finally, we characterize certain class of matrix mappings from the spaces c0(C(q)) and c(C(q)) to the space ? = {??, c0, c, ?1} and give the necessary and sufficient conditions for a matrix operator to be compact.

Publisher

National Library of Serbia

Subject

General Mathematics

Reference35 articles.

1. H. Aktuğlu, Ş. Bekar, On q-Cesàro matrix and q-statistical convergence, J. Comput. Appl. Math., 235 (16) (2011), 4717-4723.

2. F.A. Akgun, B.E. Rhoades, Properties of some q-Hausdorff matrices, Appl. Math. Comput., 219 (14) (2013), 7392-7397.

3. P.Z. Alp, A new paranormed sequence space defined by Catalan conservative matrix, Math. Methods Appl. Sci., doi: https://doi.org/10.1002/mma.6530.

4. F. Başar, B. Altay, On the space of sequences of p-bounded variation and related matrix mappings, Ukrainian Math. J., 55 (2003), 136-147.

5. M. Başarır, E. E. Kara, On compact operators on the Riesz B(m)-difference sequence spaces, Iran. J. Sci. Technol. Trans. A Sci., 35 (2011), 279-285.

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