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Statistical -convergence of positive linear operators

โœ Scribed by Kamil Demirci; Fadime Dirik

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
220 KB
Volume
24
Category
Article
ISSN
0893-9659

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โœฆ Synopsis

have recently introduced the notion of statistical ฯƒ -convergence. In this paper, we study its use in the Korovkin-type approximation theorem. Then, we construct an example such that our new result works but its classical and statistical cases do not work. We also compute the rates of statistical ฯƒ -convergence of a sequence of positive linear operators.

๐Ÿ“œ SIMILAR VOLUMES

Statistical fuzzy approximation by fuzzy
Statistical fuzzy approximation by fuzzy positive linear operators
โœ George A. Anastassiou; Oktay Duman ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 208 KB

In this paper, we prove a Korovkin-type approximation theorem for fuzzy positive linear operators by using the notion of Astatistical convergence, where A is a non-negative regular summability matrix. This type of approximation enables us to obtain more powerful results than in the classical aspects