On the Variation-Diminishing Property

被引：0
|
作者：
Gavrea I. [1 ]
Gonska H.H. [2 ]
Kacsó D.P. [1 ]
机构：
[1] Department of Mathematics, Technical University of Cluj-Napoca, Cluj-Napoca
[2] Department of Mathematics, University of Duisburg, Duisburg
来源：
Results in Mathematics | 1998年 / 33卷 / 1-2期
关键词：
Bernstein-Stancu operators; Durrmeyer operators; higher order convexity; positive linear operators; variation-diminishing property;
D O I：
10.1007/BF03322074
中图分类号：
学科分类号：
摘要：
In the present paper we give a new approach in proving the common variation-diminishing property for operators of a certain form, and we apply this method in order to show that some well-known positive linear operators have this property. The introduction includes several historical remarks; in it also a first attempt is made to draw clear lines between the various meanings of ”variation-diminuition” which were employed in the past. © 1998, Birkh/:auser Verlag, Basel.
引用
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页码：96 / 105
页数：9
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