ON THE PROPERTY OF MONOTONIC CONVERGENCE FOR MULTIVARIATE BERNSTEIN-TYPE OPERATORS

被引：13

作者：

ADELL, JA ^{[1
]}

DELACAL, J ^{[1
]}

SANMIGUEL, M ^{[1
]}

机构：

[1] UNIV BASQUE COUNTRY, FAC CIENCIAS, DEPT MATEMAT APLICADA & ESTADIST & INVEST OPERAT, E-48080 BILBAO, SPAIN

来源：

JOURNAL OF APPROXIMATION THEORY | 1995年 / 80卷 / 01期

关键词：

D O I：

10.1006/jath.1995.1008

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We use probabilistic methods to show that a large class of sequences (L(n)) of multivariate Bernstein-type operators satisfy the inequality L(n)(f, x) greater than or equal to L(n+1)(f, x), whenever f is a convex function. (C) 1995 Academic Press, Inc.

引用

页码：132 / 137

页数：6

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