GENERALIZED KANTOROVICH MODIFICATIONS OF POSITIVE LINEAR OPERATORS

被引：18
作者：
Acu, Ana-Maria [1 ]
Buscu, Ioan Cristian [2 ]
Rasa, Ioan [2 ]
机构：
[1] Lucian Blaga Univ Sibiu, Dept Math & Informat, Str Dr I Ratiu, RO-550012 Sibiu, Romania
[2] Tech Univ Cluj Napoca, Fac Automat & Comp Sci, Dept Math, Str Memorandumului nr 28, Cluj Napoca 400114, Romania
来源：
MATHEMATICAL FOUNDATIONS OF COMPUTING | 2023年 / 6卷 / 01期
关键词：
positive linear operators; Kantorovich modification; invariant measure; eigenstructure; limit of iterates;
D O I：
10.3934/mfc.2021042
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
Starting with a positive linear operator we apply the Kantorovich modification and a related modification. The resulting operators are investigated. We are interested in the eigenstructure, Voronovskaya formula, the induced generalized convexity, invariant measures and iterates. Some known results from the literature are extended.
引用
收藏
页码：54 / 62
页数：9
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