Convergence Rate of Bezier Variant of an Operator Involving Laguerre Polynomials of Degree n

被引：7

作者：

Oksuzer, Ozlem ^{[1
]}

Karsli, Harun ^{[2
]}

Yesildal, Fatma Tasdelen ^{[1
]}

机构：

[1] Ankara Univ, Dept Math, TR-06100 Ankara, Turkey

[2] Abant Izzet Baysal Univ, Dept Math, Bolu, Turkey

来源：

11TH INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2013, PTS 1 AND 2 (ICNAAM 2013) | 2013年 / 1558卷

关键词：

Approximation; Laguerre Polynomials; Bezier basis; rate of convergence; bounded variation; Lebesque Stieltjes integration; BOUNDED VARIATION; SERIES;

D O I：

10.1063/1.4825714

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we consider the Bezier variant of an operator (Pn,alpha f) which is involving Laguerre polynomial of degree n and estimate the rate of convergence of (Pn,alpha f)(x,t) to bounded variation functions To prove our main result, we have used some methods and techniques of probability theory.

引用

页码：1160 / 1163

页数：4

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