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Some Functionals and Approximation Operators Associated with a Family of Discrete Probability Distributions

Author

Listed:
  • Ana Maria Acu

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

  • Ioan Raşa

    (Department of Mathematics, Technical University of Cluj-Napoca, Str. Memorandumului No. 28, R-400114 Cluj-Napoca, Romania
    These authors contributed equally to this work.)

  • Hari M. Srivastava

    (Department of Mathematics and Staristics, University of Victoria, Victoria, BC V8W 3R4, Canada
    Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
    Department of Mathematics and Informatics, Azerbaijan University, 71 Jeyhun Hajibeyli Street, AZ1007 Baku, Azerbaijan
    Center for Converging Humanities, Kyung Hee University, 26 Kyungheedae-ro, Dongdaemun-gu, Seoul 02447, Republic of Korea)

Abstract

A certain discrete probability distribution was considered in [“A discrete probability distribution and some applications”, Mediterr. J. Math., 2023]. Its basic properties were investigated and some applications were presented. We now embed this distribution into a family of discrete distributions depending on two parameters and investigate the properties of the new distributions.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:4:p:805-:d:1058336
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    References listed on IDEAS

    as
    1. 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.
    2. Teresa Rajba, 2017. "On Some Recent Applications of Stochastic Convex Ordering Theorems to Some Functional Inequalities for Convex Functions: A Survey," Springer Optimization and Its Applications, in: Janusz Brzdęk & Krzysztof Ciepliński & Themistocles M. Rassias (ed.), Developments in Functional Equations and Related Topics, chapter 0, pages 231-274, Springer.
    Full references (including those not matched with items on IDEAS)

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