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http://dx.doi.org/10.11568/kjm.2014.22.4.671

STATISTICAL CONVERGENCE FOR GENERAL BETA OPERATORS  

Deo, Naokant (Department of Applied Mathematics Delhi Technological University (Formerly Delhi College of Engineering))
Ozarslan, Mehmet Ali (Department of Mathematics Eastern Mediterranean University Faculty of Arts and Sciences)
Bhardwaj, Neha (Department of Applied Science ABESIT)
Publication Information
Korean Journal of Mathematics / v.22, no.4, 2014 , pp. 671-681 More about this Journal
Abstract
In this paper, we consider general Beta operators, which is a general sequence of integral type operators including Beta function. We study the King type Beta operators which preserves the third test function $x^2$. We obtain some approximation properties, which include rate of convergence and statistical convergence. Finally, we show how to reach best estimation by these operators.
Keywords
Beta operators; rate of convergence; statistical convergence;
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