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Some novel approaches on the (N̅, p, q) summability of double sequences of fuzzy numbers and its applications.
- Source :
-
Iranian Journal of Fuzzy Systems . 2023, Vol. 20 Issue 6, p105-122. 18p. - Publication Year :
- 2023
-
Abstract
- In this paper, our aim is to make a novel interpretation of relation between (N̅,p,q) method and P-convergence for double sequences of fuzzy numbers. In accordance with this aim, we derive some Tauberian conditions, controlling O-oscillatory behavior of a double sequence of fuzzy numbers in certain senses, from (N̅,p,q) summability to P- convergence with some restrictions on the weight sequences. As special cases, we indicate that O-condition of Hardy type with respect to (Pm) and Qn are Tauberian conditions for (N̅,p,q) summability under some additional conditions. In the sequel, we prove a fuzzy Korovkin-type approximation theorem by using the (N̅,p,q) summability method for fuzzy positive linear operators. [ABSTRACT FROM AUTHOR]
- Subjects :
- *FUZZY numbers
*SUMMABILITY theory
*POSITIVE operators
*LINEAR operators
Subjects
Details
- Language :
- English
- ISSN :
- 17350654
- Volume :
- 20
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Iranian Journal of Fuzzy Systems
- Publication Type :
- Academic Journal
- Accession number :
- 174220475
- Full Text :
- https://doi.org/10.22111/IJFS.2023.44900.7922