共 3 条
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- [2] Lorentz GG., 1986, Bernstein polynomials, V2
- [3] Phillips G.M., 2003, CMS BOOKS MATH, V14
NONLINEAR BERNSTEIN-TYPE OPERATORS PROVIDING A BETTER ERROR ESTIMATION
被引：2
作者：
Duman, Oktay
[1
]
机构：
[1] TOBB Econ & Technol Univ, Dept Math, TR-06530 Ankara, Turkey
关键词：
Bernstein polynomials;
nonlinear operators;
simultaneous approximation;
D O I：
10.18514/MMN.2014.1136
中图分类号：
O1 [数学];
学科分类号：
0701 ;
070101 ;
摘要：
In this paper, when approximating a continuos non-negative function on the unit interval, we present an alternative way to the classical Bernstein polynomials. Our new operators become nonlinear, however, for some classes of functions, they provide better error estimations than the Bernstein polynomials. Furthermore, we obtain a simultaneous approximation result for these operators.
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页码：393 / 400
页数：8
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