Iterates of Cheney-Sharma type operators on a triangle with curved side

Abstract

We consider some Cheney-Sharma type operators as well as their product and Boolean sum for a function defined on a triangle with one curved side.

Using the weakly Picard operators technique and the contraction principle, we study the convergence of the iterates of these operators.

    Authors

    Teodora Cătinaș
    Babes-Bolyai University, Cluj Napoca, Romania

    Diana Otrocol
    Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy
    Technical University of Cluj Napoca, Romania

    Keywords

    Triangle with curved side; Cheney-Sharma operators; contraction principle; weakly Picard operators

    References

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    Paper coordinates

    T. Cătinaș, D. Otrocol, Iterates of Cheney-Sharma type operators on a triangle with curved side, Journal Computational Analysis and Applications, 28 (2020) no. 4,  pp. 737-744.

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    About this paper

    Journal

    Journal Computational Analysis and Applications

    Publisher Name

    Eudoxus Press, LLC ?

    DOI
    Print ISSN

    1521-1398

    Online ISSN
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