A Note on the Statistical Approximation Properties of the Modified Discrete Operators

Reyhan Canatan

Ankara University, Department of Mathematics, Ankara, Turkey.

DOI: 10.4236/ojdm.2012.23022                

Abstract

In this present paper, firstly, the modified positive operators and their discrete operators are constructed. Then, we investigate the statistical approximation properties and rates of convergence by using modulus of continuity of these positive linear operators. Finally, we obtain the rate of statistical convergence of truncated operators.

Keywords

Sequence of Positive Linear Operators; Bohman-Korovkin Theorem; Statistical Approximation; Modulus of Continuity; Rate of Convergence

Conflicts of Interest

The authors declare no conflicts of interest.

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