Approximation of the Urysohn operator by operator polynomials of Stancu type

被引：0
|
作者：
V. L. Makarov
I. I. Demkiv
机构：
[1] Ukrainian National Academy of Sciences,Institute of Mathematics
[2] “L’vivs’ka Politekhnika” National University,undefined
来源：
Ukrainian Mathematical Journal | 2012年 / 64卷
关键词：
Asymptotic Estimate; Bernstein Polynomial; Obvious Generalization; Bernstein Operator; Operator Polynomial;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study a one-parameter family of positive polynomial operators of one and two variables that approximate the Urysohn operator. In the case of two variables, the integration domain is an “isosceles right triangle.” As a special case, Bernstein-type polynomials are obtained. The Stancu asymptotic formulas for remainders are refined.
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页码：356 / 386
页数：30
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