Qualitative Korovkin-Type Results on Conservative Approximation

✍ Scribed by F.J. Muñoz-Delgado; V. Ramı́rez-González; D. Cárdenas-Morales

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 299 KB
• Volume: 94
• Category: Article
• ISSN: 0021-9045
• DOI: 10.1006/jath.1998.3182

✦ Synopsis

In this paper, we present a generalization of the classical Korovkin theorem on positive linear operators. We deduce some convergence results for linear operators defined on C k [0, 1], that preserve some cones of functions related to shape properties. Finally, we show some examples.