<b>Korovkin type approximation theorem for functions of two variables via statistical summability (C, 1)

Authors

  • Mohammad Mursaleen King Abdulaziz University
  • Syed Abdul Mohiuddine King Abdulaziz University

DOI:

https://doi.org/10.4025/actascitechnol.v37i2.17300

Keywords:

statistical convergence, A - statistical convergence, statistical A - summability, statistical summability (C, 1), positive linear operator, Korovkin type approximation theorem.

Abstract

The concept of statistical summability (C, 1) has recently been introduced by Moricz (2002). In this paper, we use this notion of summability to prove the Korovkin type approximation theorem for functions of two variables. Finally we construct an example by Bleimann, Butzer and Hahn operators to show that our result is stronger than those of previously proved by other authors for ordinary convergence and statistical convergence.

 

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Author Biographies

Mohammad Mursaleen, King Abdulaziz University

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

Syed Abdul Mohiuddine, King Abdulaziz University

Department of Mathematics, Faculty of Science, King Abdulaziz University,
P.O. Box 80203, Jeddah 21589, Saudi Arabia

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Published

2015-05-29

How to Cite

Mursaleen, M., & Mohiuddine, S. A. (2015). <b>Korovkin type approximation theorem for functions of two variables via statistical summability (C, 1). Acta Scientiarum. Technology, 37(2), 237–243. https://doi.org/10.4025/actascitechnol.v37i2.17300

Issue

Vol. 37 No. 2 (2015)

Section

Matematics

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