Localization results for generalized Baskakov/Mastroianni and composite operators

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:380

Article

Lopez-Moreno, Antonio-Jesus¹  Latorre-Palacios, Jose-Manuel¹ 

[1] Univ Jaen, Dept Matemat, Jaen 23071, Spain

关键词: Baskakov operators;    Mastroianni operators;    Bernstein operators;    Localization results;    Simultaneous approximation;    Meyer-Konig and Zeller operators;    Bleimann, Butzer and Hahn operators;   

DOI  :  10.1016/j.jmaa.2011.03.060

来源: Elsevier

【 摘 要 】

In this paper we study localization results for classical sequences of linear positive operators that are particular cases of the generalized Baskakov/Mastroianni operators and also for certain class of composite operators that can be derived from them by means of a suitable transformation. Amongst these composite operators we can find classical sequences like the Meyer-Konig and Zeller operators and the Bleimann, Butzer and Hahn ones. We extend in different senses the traditional form of the localization results that we find in the classical literature and we show several examples of sequences with different behavior to this respect. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free