Qualitative Korovkin-Type Theorems for RF-Convergence

✍ Scribed by J.L.F. Muniz

• Publisher: Elsevier Science
• Year: 1995
• Tongue: English
• Weight: 260 KB
• Volume: 80
• Category: Article
• ISSN: 0021-9045
• DOI: 10.1006/jath.1995.1001

✦ Synopsis

In this paper we study sequences of linear operators which are "almost positive" outside sets of small Jordan measure. For them, we prove Korovkin-type theorems in terms of a modification of the (R)-convergence used previously by (\mathrm{W}). Dickmeis, H. Mevissen, R. J. Nessel, and E. Van Wickeren and the test families of functions which the author introduced in a previous paper. 1995 Academic Press, Inc