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Jain–Durrmeyer operators associated with the inverse Pólya–Eggenberger distribution

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  • Dhamija, Minakshi
  • Deo, Naokant

Abstract

The present paper deals with the Jain–Durrmeyer operators based on inverse Pólya–Eggenberger distribution. First, we give the moments with the help of Vandermonde convolution formula and then study approximation properties of these operators which include uniform convergence and degree of approximation.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:apmaco:v:286:y:2016:i:c:p:15-22
    DOI: 10.1016/j.amc.2016.03.015
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    References listed on IDEAS

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    1. Gupta, Vijay & Greubel, G.C., 2015. "Moment estimations of new Szász–Mirakyan–Durrmeyer operators," Applied Mathematics and Computation, Elsevier, vol. 271(C), pages 540-547.
    2. 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. 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.

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