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SET-VALUED EXTENSION OF OPERATORS VIA STEINER SELECTIONS(Ⅱ)-APPLICATIONS TO APPROXIMATION
摘    要:On the basis of Part (Ⅰ) of this series some applications to the approximation of set-valued functions are obtained: Korovkin type theorems, a method to extend classical approximation operators to the set-valued setting and a Jackson type estimate.

收稿时间:20 May 2001

Set-valued extension of operators via Steiner selections(II)—Applications to approximation
Authors:Terán Pedro  López-Dían Miguel
Institution:(1) Facultad de Ciencias, Universidad de Oviedo, C/Calvo Sotelo, s/n. 33007 Oviedo, Spain
Abstract:On the basis of Part (I) of this series some applications to the approximation of set-valued functions are obtained: Korovkin type theorems, a method to extend classical approximation operators to the set-valued setting and a Jackson type estimate. Foundation items: the Spanish FPI Grant (No. 98-71701353); the DGES Grant (No. PB98-1534); the DGESIC Grant (No. PB97-1286)
Keywords:set-valued extension  Steiner selection  a Jackson type estimate
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