Approximation by Fuzzy $(p,q)$-Bernstein-Chlodowsky Operators
Journal: Sahand Communications in Mathematical Analysis (Vol.19, No. 2)Publication Date: 2022-06-15
Authors : Esma Yildiz Ozkan;
Page : 113-132
Keywords : Approximation by polynomials; Modulus of continuity; Asymptotic expansions; fuzzy numbers;
Abstract
In this study, we purpose to extend approximation properties of the $ (p,q)$-Bernstein-Chlodowsky operators from real function spaces to fuzzy function spaces. Firstly, we define fuzzy $ (p,q)$-Bernstein-Chlodowsky operators, and we give some auxiliary results. Later, we give a fuzzy Korovkin-type approximation theorem for these operators. Additionally, we investigate rate of convergence by using first order fuzzy modulus of continuity and Lipschitz-type fuzzy functions. Eventually, we give an estimate for fuzzy asymptotic expansions of the fuzzy $ (p,q)$-Bernstein-Chlodowsky operators.
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