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New quantitative results for the convergence of the iterates of some positive linear operators

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Abstract

In this paper we obtain quantitative results for the convergence of the iterates of some positive linear operators which preserve certain functions. Some examples involving q-operators are given. We show that the considered q-operators, \(0<q<1\), provide faster convergence for the iterates than those from the classical case (\(q=1\)).

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  1. Technical University of Cluj-Napoca, Str. Memorandumului No. 28, 400114, Cluj Napoca, Romania

    Marius Mihai Birou

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  1. Marius Mihai Birou
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Correspondence to Marius Mihai Birou.

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Birou, M.M. New quantitative results for the convergence of the iterates of some positive linear operators. Positivity 23, 315–326 (2019). https://doi.org/10.1007/s11117-018-0608-z

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  • DOI: https://doi.org/10.1007/s11117-018-0608-z

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