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Stancu–Kantorovich operators based on inverse Pólya–Eggenberger distribution

Author

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  • Deo, Naokant
  • Dhamija, Minakshi
  • Miclăuş, Dan

Abstract

The purpose of this paper is to investigate approximation properties of Stancu–Kantorovich operators based on inverse Pólya–Eggenberger distribution. For these new operators we establish some approximation properties including uniform convergence, asymptotic formula and degree of approximation.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:apmaco:v:273:y:2016:i:c:p:281-289
    DOI: 10.1016/j.amc.2015.10.008
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    Cited by:

    1. Dhamija, Minakshi & Deo, Naokant, 2016. "Jain–Durrmeyer operators associated with the inverse Pólya–Eggenberger distribution," Applied Mathematics and Computation, Elsevier, vol. 286(C), pages 15-22.
    2. Gupta, Vijay & Acu, Ana Maria & Sofonea, Daniel Florin, 2017. "Approximation of Baskakov type Pólya–Durrmeyer operators," Applied Mathematics and Computation, Elsevier, vol. 294(C), pages 318-331.
    3. Syed Abdul Mohiuddine & Arun Kajla & Abdullah Alotaibi, 2022. "Bézier-Summation-Integral-Type Operators That Include Pólya–Eggenberger Distribution," Mathematics, MDPI, vol. 10(13), pages 1-14, June.
    4. Kajla, Arun, 2018. "The Kantorovich variant of an operator defined by D. D. Stancu," Applied Mathematics and Computation, Elsevier, vol. 316(C), pages 400-408.
    5. 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.

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