Λ2-Weighted statistical convergence and Korovkin and Voronovskaya type theorems

Naim L. Braha, Valdete Loku and H.M. Srivastava

Applied Mathematics and Computation, 2015, vol. 266, issue C, 675-686

Abstract: In this paper, we propose to introduce a new Λ2-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.

Keywords: Statistical convergence and statistical summability; Λ2-Weighted statistical convergence and Korovkin type theorems; Rate of convergence and Voronovskaya type theorems; Positive linear operators; Bounded and continuous functions and modulus of continuity; Nonincreasing and nondecreasing functions (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:266:y:2015:i:c:p:675-686

DOI: 10.1016/j.amc.2015.05.108

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