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Stancu Type Baskakov—Durrmeyer Operators and Approximation Properties

Author

Listed:
  • Adem Kilicman

    (Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, Serdang 43400, Selangor, Malaysia)

  • Mohammad Ayman Mursaleen

    (Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, Serdang 43400, Selangor, Malaysia)

  • Ahmed Ahmed Hussin Ali Al-Abied

    (Department of Mathematics, Dhamar University, Dhamar, Yemen)

Abstract

In this article, we introduce Stancu type generalization of Baskakov–Durrmeyer operators by using inverse Pólya–Eggenberger distribution. We discuss some basic results and approximation properties. Moreover, we study the statistical convergence for these operators.

Suggested Citation

  • Adem Kilicman & Mohammad Ayman Mursaleen & Ahmed Ahmed Hussin Ali Al-Abied, 2020. "Stancu Type Baskakov—Durrmeyer Operators and Approximation Properties," Mathematics, MDPI, vol. 8(7), pages 1-13, July.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:7:p:1164-:d:384933
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    References listed on IDEAS

    as
    1. Deo, Naokant & Dhamija, Minakshi & Miclăuş, Dan, 2016. "Stancu–Kantorovich operators based on inverse Pólya–Eggenberger distribution," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 281-289.
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    Cited by:

    1. Md. Heshamuddin & Nadeem Rao & Bishnu P. Lamichhane & Adem Kiliçman & Mohammad Ayman-Mursaleen, 2022. "On One- and Two-Dimensional α –Stancu–Schurer–Kantorovich Operators and Their Approximation Properties," Mathematics, MDPI, vol. 10(18), pages 1-13, September.

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