A note on almost convex operators and saturation

被引：0
|
作者：
Cárdenas-Morales, D
Garrancho, P
机构：
[1] Univ Jaen, Dept Matemat, Jaen 23071, Spain
[2] IES Albariza, Dept Matemat, Jaen, Spain
来源：
APPLIED MATHEMATICS LETTERS | 2004年 / 17卷 / 06期
关键词：
almost convex operator; asymptotic formula; saturation result;
D O I：
10.1016/S0893-9659(04)90109-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this note, we present a result on the saturation of sequences of linear shape preserving operators. Specifically, we deal with a sequence L, of almost convex operators of order k - 1 satisfying an asymptotic formula, and find the trivial class in the saturation problem of the k(th) derivative of L.. An application to the well-known modified Meyer-Konig and Zeller operators is also shown. (C) 2004 Elsevier Ltd. All rights reserved.
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页码：711 / 715
页数：5
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