Affiliation:
1. Department of Mathematics , Faculty of Science and Arts, Düzce University , Düzce , Turkey
Abstract
Abstract
Balázs operators are an influential tool that can be used to approximate a function on the unbounded interval [0, ∞). In this study, a new construction of Balázs operators which depending upon on a function ρ(x) has been introduced. The function ρ(x) plays a significant role in this construction due to the fact that the new operator preserves definitely two test functions from the set of {1, ρ(x), ρ
2(x)}. In this direction, the approximation properties of this newly defined operators are established, such as degree of approximation and Voronovskaya type theorems. Finally, we presented a set of computational examples in order to validate the new construction of operator is an approximation procedure.
Reference28 articles.
1. Acar, T.—Aral, A.—Rasa, I.: Modified Bernstein-Durrmeyer operators, General Mathematics 22(1) (2014), 27–41.
2. Agratini, O.: An approximation process of Kantorovich type, Miskolc Math. Notes 2(1) (2001), 3–10.
3. Agratini, O.: On approximation properties of Balázs-Szabados operators and their Kantorovich extension. Korean Journal of Computational & Applied Mathematics 9(2) (2002), 361–372.
4. Aral, A.—Inoan, D.—Rasa, I.: On the generalized Szász-Mirakyan operators, Results Math. 65(3–4) (2014), 441–452.
5. Aral, A.—Ulusoy, G.—Deniz, E.: A new construction of Szász-Mirakyan operators, Numer. Algorithms 77 (2018), 313–326.
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