Geodesic
Iterates of a class of discrete linear operators via contraction principle
Commentationes Mathematicae Universitatis Carolinae, Tome 44 (2003) no. 3, pp. 555-563 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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In this paper we are concerned with a general class of positive linear operators of discrete type. Based on the results of the weakly Picard operators theory our aim is to study the convergence of the iterates of the defined operators and some approximation properties of our class as well. Some special cases in connection with binomial type operators are also revealed.
In this paper we are concerned with a general class of positive linear operators of discrete type. Based on the results of the weakly Picard operators theory our aim is to study the convergence of the iterates of the defined operators and some approximation properties of our class as well. Some special cases in connection with binomial type operators are also revealed.
Classification : 41A36, 47H10
Keywords: linear positive operators; contraction principle; weakly Picard operators; delta operators; operators of binomial type 
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     title = {Iterates of a class of discrete linear operators via contraction principle},
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Agratini, Octavian; Rus, Ioan A. Iterates of a class of discrete linear operators via contraction principle. Commentationes Mathematicae Universitatis Carolinae, Tome 44 (2003) no. 3, pp. 555-563. http://geodesic.mathdoc.fr/item/CMUC_2003_44_3_a12/