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Estimates for the Differences of Certain Positive Linear Operators

Author

Listed:
  • Ana Maria Acu

    (Department of Mathematics and Informatics, Lucian Blaga University of Sibiu, Str. Dr. I. Ratiu, No. 5-7, RO-550012 Sibiu, Romania
    These authors contributed equally to this work.)

  • Sever Hodiş

    (Department of Mathematics, Faculty of Automation and Computer Science, Technical University of Cluj-Napoca, Str. Memorandumului nr. 28, 400114 Cluj-Napoca, Romania
    These authors contributed equally to this work.)

  • Ioan Rașa

    (Department of Mathematics, Faculty of Automation and Computer Science, Technical University of Cluj-Napoca, Str. Memorandumului nr. 28, 400114 Cluj-Napoca, Romania
    These authors contributed equally to this work.)

Abstract

The present paper deals with estimates for differences of certain positive linear operators defined on bounded or unbounded intervals. Our approach involves Baskakov type operators, the k th order Kantorovich modification of the Baskakov operators, the discrete operators associated with Baskakov operators, Meyer–König and Zeller operators and Bleimann–Butzer–Hahn operators. Furthermore, the estimates in quantitative form of the differences of Baskakov operators and their derivatives in terms of first modulus of continuity are obtained.

Suggested Citation

  • Ana Maria Acu & Sever Hodiş & Ioan Rașa, 2020. "Estimates for the Differences of Certain Positive Linear Operators," Mathematics, MDPI, vol. 8(5), pages 1-12, May.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:5:p:798-:d:358107
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    References listed on IDEAS

    as
    1. Vijay Gupta & Themistocles M. Rassias & P. N. Agrawal & Ana Maria Acu, 2018. "Estimates for the Differences of Positive Linear Operators," Springer Optimization and Its Applications, in: Recent Advances in Constructive Approximation Theory, chapter 0, pages 183-197, Springer.
    2. Vijay Gupta & Themistocles M. Rassias & P. N. Agrawal & Ana Maria Acu, 2018. "Recent Advances in Constructive Approximation Theory," Springer Optimization and Its Applications, Springer, number 978-3-319-92165-5, June.
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    Citations

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    Cited by:

    1. Ana Maria Acu & Ioan Raşa & Hari M. Srivastava, 2023. "Some Functionals and Approximation Operators Associated with a Family of Discrete Probability Distributions," Mathematics, MDPI, vol. 11(4), pages 1-9, February.
    2. Daniel Ioan Hunyadi & Oana-Adriana Ticleanu & Nicolae Constantinescu, 2022. "Optimal Elliptic-Curve Subspaces for Applications in Double-Authenticated Requests in Mobile Distributed Data Mining," Mathematics, MDPI, vol. 11(1), pages 1-14, December.

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