Statistical (C,1)(E,μ)-summability and associated fuzzy approximation theorems with statistical fuzzy rates

The concept of statistical convergence has attracted the pervasive attention of the current researchers due basically to the fact that it is stronger than the ordinary convergence. Korovkin-type approximation theorem plays a vital role in the convergence of sequences of positive linear operators. Mo...

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Bibliographic Details
Published in:Soft computing (Berlin, Germany) Germany), 2020-07, Vol.24 (14), p.10883-10892
Main Authors: Das, A. A., Paikray, S. K., Pradhan, T., Dutta, Hemen
Format: Article
Language:English
Subjects:
Approximation
Artificial Intelligence
Computational Intelligence
Control
Convergence
Engineering
Fuzzy sets
Linear operators
Mathematical analysis
Mathematical Logic and Foundations
Mathematical programming
Mechatronics
Methodologies and Application
Robotics
Statistical methods
Theorems
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Summary:The concept of statistical convergence has attracted the pervasive attention of the current researchers due basically to the fact that it is stronger than the ordinary convergence. Korovkin-type approximation theorem plays a vital role in the convergence of sequences of positive linear operators. Moreover, this type of approximation theorems has been extended through different statistical summability methods over general sequence spaces. The paper investigated statistical ( C , 1 ) ( E , μ ) product summability mean for sequences of fuzzy numbers and proved a fuzzy Korovkin-type approximation theorem. Furthermore, we have established another result for the fuzzy rate of convergence which is uniform in fuzzy Korovkin-type approximation theorem under our proposed summability mean.
ISSN:1432-7643
1433-7479
DOI:10.1007/s00500-019-04591-2