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A class of Markov type operators which preserve ej,j⩾1

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  • Birou, Marius Mihai

Abstract

In this paper we construct a class of Markov type operators which preserve ej,j⩾1. We give a recurrence relation for the moments of this operator and study the convergence. We show the uniform convergence of the derivative of order r⩾0 of the operator. A Voronovskaya formula and some inequalities are presented.

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  • Birou, Marius Mihai, 2015. "A class of Markov type operators which preserve ej,j⩾1," Applied Mathematics and Computation, Elsevier, vol. 250(C), pages 1-11.
    • Handle: RePEc:eee:apmaco:v:250:y:2015:i:c:p:1-11
    DOI: 10.1016/j.amc.2014.10.078
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    References listed on IDEAS

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    1. Cárdenas-Morales, D. & Garrancho, P. & Raşa, I., 2014. "Approximation properties of Bernstein–Durrmeyer type operators," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 1-8.
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    Cited by:

    1. Agratini, Octavian, 2015. "A sequence of positive linear operators associated with an approximation process," Applied Mathematics and Computation, Elsevier, vol. 269(C), pages 23-28.

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