Local Smoothness of Functions and Baskakov–Durrmeyer Operators

✍ Scribed by Song Li

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 902 KB
• Volume: 88
• Category: Article
• ISSN: 0021-9045
• DOI: 10.1006/jath.1996.3016

✦ Synopsis

In this paper, we consider the local approximation by Baskakov Durrmeyer operators. The continuous functions of local Lipschitz-: (0<:<1) on any subset of [0, ) are characterized by the local rate of convergence of Baskakov Durrmeyer operators. The main difference between these operators and their classical and Kantorovich-variants respectively is that they have commutativity, which is crucial for our purpose.