TITLE:
A Note on the Statistical Approximation Properties of the Modified Discrete Operators
AUTHORS:
Reyhan Canatan
KEYWORDS:
Sequence of Positive Linear Operators; Bohman-Korovkin Theorem; Statistical Approximation; Modulus of Continuity; Rate of Convergence
JOURNAL NAME:
Open Journal of Discrete Mathematics,
Vol.2 No.3,
July
18,
2012
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.