Some Properties of Kantorovich-Stancu-Type Generalization of Szász Operators including Brenke-Type Polynomials via Power Series Summability Method

Naim Latif Braha; Toufik Mansour; Mohammad Mursaleen

doi:10.1155/2020/3480607

Some Properties of Kantorovich-Stancu-Type Generalization of Szász Operators including Brenke-Type Polynomials via Power Series Summability Method

Naim Latif Braha, Toufik Mansour, Mohammad Mursaleen

Department of Mathematics

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

Abstract

In this paper, we study the Kantorovich-Stancu-type generalization of Szász-Mirakyan operators including Brenke-type polynomials and prove a Korovkin-type theorem via the T-statistical convergence and power series summability method. Moreover, we determine the rate of the convergence. Furthermore, we establish the Voronovskaya- and Grüss-Voronovskaya-type theorems for T-statistical convergence.

Original language	English
Article number	3480607
Journal	Journal of Function Spaces
Volume	2020
DOIs	https://doi.org/10.1155/2020/3480607
State	Published - 2020

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© 2020 Naim Latif Braha et al.

ASJC Scopus subject areas

Analysis

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abstract = "In this paper, we study the Kantorovich-Stancu-type generalization of Sz{\'a}sz-Mirakyan operators including Brenke-type polynomials and prove a Korovkin-type theorem via the T-statistical convergence and power series summability method. Moreover, we determine the rate of the convergence. Furthermore, we establish the Voronovskaya- and Gr{\"u}ss-Voronovskaya-type theorems for T-statistical convergence.",

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AB - In this paper, we study the Kantorovich-Stancu-type generalization of Szász-Mirakyan operators including Brenke-type polynomials and prove a Korovkin-type theorem via the T-statistical convergence and power series summability method. Moreover, we determine the rate of the convergence. Furthermore, we establish the Voronovskaya- and Grüss-Voronovskaya-type theorems for T-statistical convergence.

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Some Properties of Kantorovich-Stancu-Type Generalization of Szász Operators including Brenke-Type Polynomials via Power Series Summability Method

Abstract

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