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A sequence of positive linear operators associated with an approximation process

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  • Agratini, Octavian

Abstract

Considering a general class of discrete linear positive operators, by using a one-to-one function, we associate to the class mentioned above a new sequence of operators. Our aim is to establish the transfer of approximation properties on this construction. The study is carried out in a weighted space and our results are materialized in obtaining both a convergence theorem of Korovkin type and an inequality for the approximation error expressed in terms of a certain weighted modulus of smoothness. Two particular cases are analyzed.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:apmaco:v:269:y:2015:i:c:p:23-28
    DOI: 10.1016/j.amc.2015.07.043
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    References listed on IDEAS

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    1. Olgun, A. & Taşdelen, F. & Erençin, A., 2015. "A generalization of Jain’s operators," Applied Mathematics and Computation, Elsevier, vol. 266(C), pages 6-11.
    2. 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.
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