# Korovkin type approximation theorem via lacunary equi-statistical convergence in fuzzy spaces

Volume 25, Issue 4, pp 312--321
Publication Date: August 09, 2021 Submission Date: May 27, 2021 Revision Date: June 14, 2021 Accteptance Date: June 26, 2021
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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.

### Share and Cite

##### 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

•  40A05
•  40A30

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