Approximation by certain linking operators

被引：3
|
作者：
Acu, Ana-Maria [1 ]
Bascanbaz-Tunca, Gulen [2 ]
Cetin, Nursel [3 ]
机构：
[1] Lucian Blaga Univ Sibiu, Dept Math & Informat, Str Dr I Ratiu 5-7, RO-550012 Sibiu, Romania
[2] Ankara Univ, Fac Sci, Dept Math, TR-06100 Ankara, Turkey
[3] Ankara Haci Bayram Veli Univ, Polatli Fac Sci & Letters, Dept Math, TR-06900 Ankara, Turkey
来源：
ANNALS OF FUNCTIONAL ANALYSIS | 2020年 / 11卷 / 04期
关键词：
Bernstein operators; Genuine Bernstein-Durrmeyer operators; Modulus of continuity; Voronovskaya type theorem; Order of approximation;
D O I：
10.1007/s43034-020-00081-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we improve the order of approximation of certain operators linking Bernstein and genuine Bernstein-Durrmeyer operators. Firstly, we obtain some direct results in terms of modulus of continuity and Voronovskaja type asymptotic formula for these operators. Finally, we give some numerical examples regarding the obtained theoretical results for new constructed operators.
引用
收藏
页码：1184 / 1202
页数：19
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