Some Properties of Kantorovich-Stancu-Type Generalization of Szász Operators including Brenke-Type Polynomials via Power Series Summability Method-Reference-Cited by-同舟云学术

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

Published:2020-08-14 Issue: Volume:2020 Page:1-15
ISSN:2314-8896
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Braha Naim Latif¹²,Mansour Toufik³,Mursaleen Mohammad⁴⁵⁶^ORCID

Affiliation:

1. Ilirias Research Institute, rr-Janina, No-2, Ferizaj 70000, Kosovo

2. Department of Mathematics and Computer Sciences, University of Prishtina, Avenue Mother Teresa, No-5, Prishtine 10000, Kosovo

3. Department of Mathematics, University of Haifa, 3498838 Haifa, Israel

4. Department of Medical Research, China Medical University Hospital, China Medical University (Taiwan), Taichung, Taiwan

5. Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India

6. Department of Computer Science and Information Engineering, Asia University, Taichung, Taiwan

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.

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2020/3480607.pdf

Reference31 articles.

1. A MATRIX CHARACTERIZATION OF STATISTICAL CONVERGENCE

2. Some Weighted Equi-Statistical Convergence and Korovkin Type-Theorem

3. Λ2-Weighted statistical convergence and Korovkin and Voronovskaya type theorems

4. A Korovkin’s type approximation theorem for periodic functions via the statistical summability of the generalized de la Vallée Poussin mean

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