ON NEW BEZIER BASES WITH SCHURER POLYNOMIALS AND CORRESPONDING RESULTS IN APPROXIMATION THEORY

被引：53

作者：

Ozger, Faruk ^{[1
]}

机构：

[1] Izmir Katip Celebi Univ, Dept Engn Sci, TR-35620 Izmir, Turkey

来源：

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS | 2020年 / 69卷 / 01期

关键词：

Bezier bases; shape parameter; lambda-Schurer operators; weighted A-statistical convergence; OPERATORS; (P; CONVERGENCE;

D O I：

10.31801/cfsuasmas.510382

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A new type Bezier bases with lambda shape parameters have been defined [30, Ye et al., 2010]. We slightly modify these bases to establish new Bezier bases with Schurer polynomials and lambda 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.

引用

页码：376 / 393

页数：18

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