Approximation Properties of    p , q   -Szász-Mirakjan-Durrmeyer Operators | Zendy

Zhipeng Lin | Zendy; Wen-Tao Cheng | Zendy; Xiao-Wei Xu | Zendy

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Approximation Properties of

(p, q)

-Szász-Mirakjan-Durrmeyer Operators

Author(s) -

Zhipeng Lin,

Wen-Tao Cheng,

Xiao-Wei Xu

Publication year - 2021

Publication title -

journal of function spaces

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.579

H-Index - 28

eISSN - 2314-8896

pISSN - 2314-8888

DOI - 10.1155/2021/6649570

Subject(s) - mathematics , combinatorics

In this article, we introduce a new Durrmeyer-type generalization of p , q -Szász-Mirakjan operators using the p , q -gamma function of the second kind. The moments and central moments are obtained. Then, the Voronovskaja-type asymptotic formula is investigated and point-wise estimates of these operators are studied. Also, some local approximation properties of these operators are investigated by means of modulus of continuity and Peetre K -functional. Finally, the rate of convergence and weighted approximation of these operators are presented.

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