BS-Bézier算子列的逼近性质

Approximation by BS-Bézier Operators

研究BS-Bézier算子列关于一般有界函数的逼近性质,得到其收敛阶的精确估计。有界变差函数的逼近情况成为所得结果的特例。不仅如此,由于BS-Bézier算子列的广泛性,论文所得结果概括和拓展了文献[1],[5]的研究结果。

This paper investigates the approximation properties of BS-Bézier operators for bounded functions.A sharp estimate on the rate of convergence of this type approximation is obtained.This result includes the approximation of functions of bounded variation as a special case.This result also subsumes and improves the results of the articles [1] and [5] as the special cases.