Some properties of Kantorovich variant of Chlodowsky-Szász operators induced by Boas-Buck type polynomials

Naim L. Braha; Valdete Loku; Toufik Mansour

doi:10.1515/ms-2022-0029

Some properties of Kantorovich variant of Chlodowsky-Szász operators induced by Boas-Buck type polynomials

Naim L. Braha, Valdete Loku, Toufik Mansour

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we study the Kantorovich variant of Chlodowsky Szász operators induced by Boas-Buck type polynomials and prove a Korovkin type theorem. Also, we present the Voronovskaya type theorem and Grüss-Voronovskaya type theorem. In the last section, we estimate the rates of pointwise approximation of Kantorovich variant of Chlodowsky Szász operators induced by Boas-Buck type polynomials for functions with derivatives of bounded variation.

Original language	English
Pages (from-to)	419-442
Number of pages	24
Journal	Mathematica Slovaca
Volume	72
Issue number	2
DOIs	https://doi.org/10.1515/ms-2022-0029
State	Published - 1 Apr 2022

Bibliographical note

Publisher Copyright:
© 2022 Mathematical Institute Slovak Academy of Sciences.

Keywords

Gruss-Vornovskaya type theorem
Kantorovich variant of Chlodowsky Szaasz operators induced by Boas-Buck type polynomials
Korovkin type theorem
Voronovskaya type theorem

ASJC Scopus subject areas

General Mathematics

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Cite this

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title = "Some properties of Kantorovich variant of Chlodowsky-Sz{\'a}sz operators induced by Boas-Buck type polynomials",

abstract = "In this paper, we study the Kantorovich variant of Chlodowsky Sz{\'a}sz operators induced by Boas-Buck type polynomials and prove a Korovkin type theorem. Also, we present the Voronovskaya type theorem and Gr{\"u}ss-Voronovskaya type theorem. In the last section, we estimate the rates of pointwise approximation of Kantorovich variant of Chlodowsky Sz{\'a}sz operators induced by Boas-Buck type polynomials for functions with derivatives of bounded variation.",

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AU - Braha, Naim L.

AU - Loku, Valdete

AU - Mansour, Toufik

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N2 - In this paper, we study the Kantorovich variant of Chlodowsky Szász operators induced by Boas-Buck type polynomials and prove a Korovkin type theorem. Also, we present the Voronovskaya type theorem and Grüss-Voronovskaya type theorem. In the last section, we estimate the rates of pointwise approximation of Kantorovich variant of Chlodowsky Szász operators induced by Boas-Buck type polynomials for functions with derivatives of bounded variation.

AB - In this paper, we study the Kantorovich variant of Chlodowsky Szász operators induced by Boas-Buck type polynomials and prove a Korovkin type theorem. Also, we present the Voronovskaya type theorem and Grüss-Voronovskaya type theorem. In the last section, we estimate the rates of pointwise approximation of Kantorovich variant of Chlodowsky Szász operators induced by Boas-Buck type polynomials for functions with derivatives of bounded variation.

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KW - Voronovskaya type theorem

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ER -

Some properties of Kantorovich variant of Chlodowsky-Szász operators induced by Boas-Buck type polynomials

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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