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 : 12 | Download : 9

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