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New estimates for the differences of positive linear operators

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Abstract

Using Taylor’s formula some inequalities for a positive linear functional are considered in this paper. These results lead us to new estimates of the differences of certain positive linear operators. Applications for some known positive linear operators are given.

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Authors and Affiliations

  1. Department of Mathematics and Informatics, Lucian Blaga University of Sibiu, Str. Dr. I. Ratiu, No.5-7, 550012, Sibiu, Romania

    Ana Maria Acu

  2. Faculty of Automation and Computer Science, Department of Mathematics, Technical University of Cluj-Napoca, Str. Memorandumului nr. 28, Cluj-Napoca, Romania

    Ioan Raşa

Authors
  1. Ana Maria Acu
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  2. Ioan Raşa
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Correspondence to Ana Maria Acu.

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Acu, A.M., Raşa, I. New estimates for the differences of positive linear operators. Numer Algor 73, 775–789 (2016). https://doi.org/10.1007/s11075-016-0117-8

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  • DOI: https://doi.org/10.1007/s11075-016-0117-8

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