APPROXIMATION PROPERTIES OF CERTAIN BERNSTEIN-STANCU TYPE OPERATORS

被引：2

作者：

Acu, Ana-Maria ^{[1
]}

Dogru, Ogun ^{[2
]}

Muraru, Carmen Violeta ^{[3
]}

Radu, Voichita Adriana ^{[4
]}

机构：

[1] Lucian Blaga Univ Sibiu, Dept Math & Informat, Str Dr 1 Ratiu,5-7, RO-550012 Sibiu, Romania

[2] Gazi Univ, Fac Arts & Sci, Dept Math, TR-06500 Ankara, Turkey

[3] Vasile Alecsandri Univ Bacau, Dept Math Informat & Educ Sci, Bacau, Romania

[4] Babes Bolyai Univ, FSEGA, Dept Stat Forecasts Math, Cluj Napoca, Romania

来源：

JOURNAL OF MATHEMATICAL INEQUALITIES | 2019年 / 13卷 / 03期

关键词：

Bernstein-Stancu operator; q-integers; rate of convergence; moduli of continuity; DURRMEYER TYPE OPERATORS; VARIANT;

D O I：

10.7153/jmi-2019-13-46

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we introduce and investigate a new operator of Bernstein-Stancu type, based on q-polynomials. We study approximation properties for these operators based on Korovkin type approximation theorem and study some direct theorems. Also, the study contains numerical considerations regarding the constructed operators based on Maple algorithms.

引用

页码：687 / 702

页数：16

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