Korovkin type approximation theorem via lacunary equi-statistical convergence in fuzzy spaces
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Authors
M. Aiyub
- Department of Mathematics, College of Sciences, University of Bahrain, Manama, Kingdom of Bahrain.
K. Saini
- School of Mathematics, Shri Mata Vaishno Devi University, Katra-182320, J \(\&\) K, India.
K. Raj
- School of Mathematics, Shri Mata Vaishno Devi University, Katra-182320, J \(\&\) K, India.
Abstract
In the present paper, we establish relations between equi-statistical convergence and lacunary equi-statistical convergence of sequences of fuzzy number valued functions. We make an effort to prove Korovkin type approximation theorem via lacunary equi-statistical convergence in fuzzy spaces. Further, we study rates of lacunary equi-statistical fuzzy convergence by using fuzzy modulus of continuity.
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ISRP Style
M. Aiyub, K. Saini, K. Raj, Korovkin type approximation theorem via lacunary equi-statistical convergence in fuzzy spaces, Journal of Mathematics and Computer Science, 25 (2022), no. 4, 312--321
AMA Style
Aiyub M., Saini K., Raj K., Korovkin type approximation theorem via lacunary equi-statistical convergence in fuzzy spaces. J Math Comput SCI-JM. (2022); 25(4):312--321
Chicago/Turabian Style
Aiyub, M., Saini, K., Raj, K.. "Korovkin type approximation theorem via lacunary equi-statistical convergence in fuzzy spaces." Journal of Mathematics and Computer Science, 25, no. 4 (2022): 312--321
Keywords
- Fuzzy number
- lacunary equi-statistical convergence
- fuzzy rate
- fuzzy positive linear operator
- Korovkin type approximation theorem
MSC
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