THE LOWER ESTIMATE FOR LINEAR POSITIVE OPERATORS .1.

被引：17

作者：

KNOOP, HB

ZHOU, XL

机构：

[1] Department of Mathematics, University of Duisburg, Duisburg

来源：

CONSTRUCTIVE APPROXIMATION | 1995年 / 11卷 / 01期

关键词：

BEST LOWER ESTIMATE; CONVOLUTION OPERATOR; BERNSTEIN POLYNOMIAL OPERATOR; BERNSTEIN-DURRMEYER OPERATOR;

D O I：

10.1007/BF01294338

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A method to prove lower estimates for linear operators is introduced. As a result the best lower estimate for certain convolution operators, for the multivariate Bernstein-Durrmeyer operators in part I and the Bernstein polynomial operators in part II (see [10]), are obtained.

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页码：53 / 66

页数：14

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