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

Authors :
Braha, Naim L.
Loku, Valdete
Srivastava, H.M.
Source :
Applied Mathematics & Computation. Sep2015, Vol. 266, p675-686. 12p.
Publication Year :
2015

Abstract

In this paper, we propose to introduce a new Λ 2 -weighted statistical convergence. Based upon this definition, we prove some Korovkin type theorems. We also find the rate of the convergence for this kind of weighted statistical convergence and derive some Voronovskaya type theorems. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00963003
Volume :
266
Database :
Academic Search Index
Journal :
Applied Mathematics & Computation
Publication Type :
Academic Journal
Accession number :
108809196
Full Text :
https://doi.org/10.1016/j.amc.2015.05.108