Journal of Hebei University(Natural Science Edition) ›› 2022, Vol. 42 ›› Issue (2): 118-123.DOI: 10.3969/j.issn.1000-1565.2022.02.002

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Korovkin approximation theorem on fuzzy continuous functions of several variables

CHEN Yingwei, CHANG Zhikui, WANG Zhijun   

  1. College of Mathematics and Statistics, Hebei University of Economics and Business, Shijiazhuang 050061, China
  • Received:2020-09-16 Online:2022-03-25 Published:2022-04-12

Abstract: We prove the trigonometric Korovkin approximation theorem for fuzzy valued functions of several variables and verify the approximation via the fuzzy modulus of continuity. Some applications concerning Fejér operators of fuzzy valued functions are also given.

Key words: fuzzy valued continuous function, Korovkin approximation theorem, fuzzy set theory, Fejér operator

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