On the best constant in Hyers-Ulam stability of some positive linear operators

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:412

Article

Popa, Dorian¹  Rasa, Ioan¹ 

[1] Tech Univ Cluj Napoca, Dept Math, Cluj Napoca 400114, Romania

关键词: Hyers-Ulam stability;    Operators;    Approximation;    Best constant;   

DOI  :  10.1016/j.jmaa.2013.10.039

来源: Elsevier

【 摘 要 】

We obtain the infimum of the Hyers-Ulam stability constants for Stancu, Bernstein and Kantorovich operators and prove that in a class of certain positive linear operators this infimum for Bernstein operator has a minimality property. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free