Blending‐type approximation by Lupaş–Durrmeyer‐type operators involving Pólya distribution | Zendy

Kajla Arun | Zendy; Mohiuddine S. A. | Zendy; Alotaibi Abdullah | Zendy

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Blending‐type approximation by Lupaş–Durrmeyer‐type operators involving Pólya distribution

Author(s) -

Kajla Arun,

Mohiuddine S. A.,

Alotaibi Abdullah

Publication year - 2021

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.7368

Subject(s) - mathematics , type (biology) , lipschitz continuity , smoothness , modulus of continuity , mathematical analysis , space (punctuation) , sequence (biology) , distribution (mathematics) , pure mathematics , linguistics , philosophy , genetics , ecology , biology

In the present work, we construct a new sequence of positive linear operatorsinvolving Pólya distribution. We compute a Voronovskaja type and a Grüss–Voronovskaja type asymptotic formula as well as the rate of approximation by using the modulus of smoothness and for functions in a Lipschitz type space. Lastly, we provide some numerical results, which explain the validity of the theoretical results and the effectiveness of the constructed operators.

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