- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Volume:69 Issue:1
- On new Bézier bases with Schurer polynomials and corresponding results in approximation theory
On new Bézier bases with Schurer polynomials and corresponding results in approximation theory
Authors : Faruk ÖZGER
Pages : 376-393
Doi:10.31801/cfsuasmas.510382
View : 43 | Download : 11
Publication Date : 2020-06-30
Article Type : Research Paper
Abstract :A new type Bézier bases with λ shape parameters have been defined ye. We slightly modify these bases to establish new Bézier bases with Schurer polynomials and λ shape parameters. We construct a new type Schurer operators via defined new Bézier-Schurer bases. Also, we study statistical convergence properties of these operators and obtain an estimate for the rate of weighted A-statistical convergence. Moreover, we prove two Voronovskaja-type theorems including a Voronovskaja-type approximation theorem using weighted A-statistical convergence.Keywords : Bézier bases, shape parameter, statistical approximation, lambda Schurer operators, weighted A statistical Voronovskaja type theorem
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