Nörlund \(\mathcal{I}\)-convergent double sequence spaces via Orlicz function

Volume 31, Issue 1, pp 95--101 http://dx.doi.org/10.22436/jmcs.031.01.08

Publication Date: April 14, 2023 Submission Date: January 29, 2023 Revision Date: February 17, 2022 Accteptance Date: March 03, 2022

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Authors

N. Khan - Dept. of Mathematics, College of Science, Taibah University, Madina, Saudi Arabia. M. Al-labadi - Dept. of Basic Science and Humanities, Faculty of Arts and Science, University of Petra, Amman, Jordan. A. Al-Balawi - Dept. of Mathematics, College of Science, Taibah University, Madina, Saudi Arabia. E. Almuhur - Dept. of Basic Science and Humanities, Faculty of Arts and Science, Applied Science Private University, Amman, Jordan.

Abstract

In the present article, we introduce some new classes of \(\mathcal{I}\)-convergent double sequence spaces defined by Orlicz function using the Nörlund mean. We also find the condition for any sequence in these spaces to be \(\mathcal{I}\)-convergent and draw some inclusion relations between them.

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Keywords

• Nörlund sequences
• Orlicz function
• ideal
• filter
• ideal-convergence

MSC

•  40A05
•  40A35
•  40G15

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