Estimates of central moments for one kind of exponential-type operators

Abstract

In this paper, the explicit estimates of central moments for one kind of exponential-type operators are derived. The estimates play an essential role in studying the explicit approximation properties of this family of operators. Using the proposed method, the results of Ditzian and Totik in 1987, Guo and Qi in 2007, and Mahmudov in 2010 can be improved respectively.

Keywords

exponential-type operator / central moment / approximation property / Stirling series

References

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