Abstract
The purpose of this paper is twofold. Firstly, we present an equivalence property involving isotonic linear functionals. Secondly, by using the contraction principle, we give a method for obtaining the limit of iterates of some classes of linear positive operators.
Authors
Octavian Agratini
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania
Keywords
Popoviciu-Bohman-Korovkin criterion;Jensen inequality; Jenssen inequality; Banach fixed-point theorem; Bernstein operators; iterates of an approximation process.
Paper coordinates
O. Agratini, Inequalities and approximation theory, In Inequalities and Applications, eds. Themistocles M. Rassias, Dorin Andrica, pp. 1-12, Cluj University Press, 2008, ISBN 978-973-610-793-1
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