Complete Asymptotic Expansions for Altomare Operators

被引：0
|
作者：
Ulrich Abel
Mircea Ivan
机构：
[1] Technische Hochschule Mittelhessen,Fachbereich MND
[2] Technical University of Cluj-Napoca,Department of Mathematics
来源：
Mediterranean Journal of Mathematics | 2013年 / 10卷
关键词：
Primary 41A25; Secondary 41A60; Approximation by positive operators; rate of convergence; degree of approximation;
D O I：
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学科分类号：
摘要：
In the present paper, we study an approximation process by a sequence of operators with a prescribed asymptotic behavior. The method of construction of these operators is due to Altomare and Amiar. The operators have several applications in semigroup theory. Our investigation provides an insight in their asymptotic behaviour. Finally, we apply our results to concrete examples of approximation operators recently defined and used by Altomare and Milella for the study of semigroups.
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页码：17 / 29
页数：12
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