On the Non-Linearity of S-Type Variable Exponent Absolutely Summable New Difference Sequence Space

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DOI: https://doi.org/10.28924/2291-8639-22-2024-204
Published: Nov 11, 2024
Cite as:
Arafa O. Mustafa, Salah H. Alshabhi, Mohammed N. Alshehri, OM Kalthum S. K. Mohamed, Mustafa M. Mohammed, Runda A. A. Bashir, Sakeena E. M. Hamed, Awad A. Bakery, On the Non-Linearity of S-Type Variable Exponent Absolutely Summable New Difference Sequence Space, Int. J. Anal. Appl., 22 (2024), 204.

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Arafa O. Mustafa, Salah H. Alshabhi, Mohammed N. Alshehri, OM Kalthum S. K. Mohamed, Mustafa M. Mohammed, Runda A. A. Bashir, Sakeena E. M. Hamed, Awad A. Bakery

Abstract

This article presents the domain of general quantum difference in Nakano sequence space. Some topological and geometric behavior, the multiplication mappings defined on it, and the spectrum of mapping ideals constructed by this space and s−numbers have been introduced. Existing results are constructed by controlling the general quantum difference and power of this new space, which is a major strength.

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