On Stancu-Type Generalization of Modified    p , q   -Szász-Mirakjan-Kantorovich Operators | Zendy

HU Yong-mo | Zendy; Wen-Tao Cheng | Zendy; Chunyan Gui | Zendy; Wenhui Zhang | Zendy

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On Stancu-Type Generalization of Modified

(p, q)

-Szász-Mirakjan-Kantorovich Operators

Author(s) -

HU Yong-mo,

Wen-Tao Cheng,

Chunyan Gui,

Wenhui Zhang

Publication year - 2021

Publication title -

journal of function spaces

Language(s) - English

Resource type - Journals

eISSN - 2314-8896

pISSN - 2314-8888

DOI - 10.1155/2021/6683004

Subject(s) - generalization , mathematics , type (biology) , combinatorics , biology , mathematical analysis , ecology

In the present article, we construct p , q -Szász-Mirakjan-Kantorovich-Stancu operators with three parameters λ , α , β . First, the moments and central moments are estimated. Then, local approximation properties of these operators are established via K -functionals and Steklov mean in means of modulus of continuity. Also, a Voronovskaja-type theorem is presented. Finally, the pointwise estimates, rate of convergence, and weighted approximation of these operators are studied.

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