A New Generalization of Bernstein Polynomials

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Turkish Journal of Mathematics and Computer Science
Volume:13 Issue:1
A New Generalization of Bernstein Polynomials

A New Generalization of Bernstein Polynomials

Authors : Harun ÇİÇEK, Aydın İZGİ

Pages : 211-220

Doi:10.47000/tjmcs.853544

View : 48 | Download : 9

Publication Date : 2021-06-30

Article Type : Research Paper

Abstract :We will hereby introduce a new generalization of the Schurer, Stancu, Deo, and Izgi operators which are the modifications of the Bernstein polynomials and calculate the rate of approximation for the new operator with the help of the continuity module. Then, by using graphs and numerical values, we will demonstrate that the new general operator yields better results than the above classical operators which can be seen as the basis of the approximation theory.
Keywords : Approximation properties, modulus of continuity, Bernstein operators

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