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Fuzzy approximation theorems via power series summability methods in two variables.

Authors :
Singh, Digvijay
Singh, Karunesh Kumar
Source :
Soft Computing - A Fusion of Foundations, Methodologies & Applications. Jan2024, Vol. 28 Issue 2, p945-953. 9p.
Publication Year :
2024

Abstract

This paper contains a power series summability method based on Korovkin type approximation theorem for a sequence of fuzzy positive linear operators in two variables. Besides that, a theorem related to fuzzy rate of convergence has been derived with the help of fuzzy modulus of continuity, which gives clarity to understanding the analogous observations between fuzzy set theory and classical theory. Additionally, an example is illustrated which gives a better idea to understand that summability in two variable-based Korovkin type theorem has less drawback over fuzzy set theory. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
14327643
Volume :
28
Issue :
2
Database :
Academic Search Index
Journal :
Soft Computing - A Fusion of Foundations, Methodologies & Applications
Publication Type :
Academic Journal
Accession number :
174761774
Full Text :
https://doi.org/10.1007/s00500-023-09378-0