On new Bézier bases with Schurer polynomials and corresponding results in approximation theory

By Faruk Özger. 2019

58 citations recorded by the source corpus.

A new type Bezier bases with λ shape parameters have been defined ye . We slightly modify these bases to establish new Bezier bases with Schurer polynomials and λ shape parameters. We construct a new type Schurer operators via defined new Bezier-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.

Subfields: Numerical Analysis, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/8fefb4f1246fb726447738368193cafb401f8801