On the iterates of a class of summation-type linear positive operators

Abstract

This note is focused upon positive linear operators which preserve the quadratic test function. By using contraction principle, we study the convergence of their iterates.

Authors

Octavian Agratini
Department of Mathematics Babes-Bolyai University, Cluj-Napoca, Romania

Keywords

Linear positive operator, Popoviciu–Bohman–Korovkin theorem, Contraction principle, Modulus of continuity, Iterates

Paper coordinates

O. Agratini, On the iterates of a class of summation-type linear positive operators, Computers and Mathematics with Applications, 55 (2008) no. 6, pp. 1178-1180, https://doi.org/10.1016/j.camwa.2007.04.044

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Journal

Computer Mathematics with Applications

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References

2008

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