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chapter, we consider Bernstein type rational functions defined by Balázs called Balázs operator. We give degree of the approximation for the Balázs operator concerning to bounded and continuous functions with the help of the first modulus of continuity considering the basic Riesz representation theorem for any linear positive operator. Later, we define fuzzy Balázs operator and give the relations between the Balázs operator and the corresponding fuzzy Balázs operator. Lastly, we obtain degree of the approximation for the fuzzy Balázs operator concerning to fuzzy bounded and continuous functions on positive real axis with the help of the fuzzy modulus of continuity considering the fuzzy Riesz representation theorem.
Livre de Lyon
Bernstein type, Balázs, approximation properties, fuzzy
Ozkan, Esma Yildiz, "APPROXIMATION BY FUZZY BERNSTEIN TYPE RATIONAL FUNCTIONS" (2020). Science and Mathematical Science. 27.