BS-Bézier算子列的逼近性质  

Approximation by BS-Bézier Operators

作　　者：曾晓明[1] 

机构地区：[1]厦门大学

出　　处：《学术问题研究》2006年第2期100-103,共4页Academic Research(Integrated Edition)

摘　　要：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.

关 键 词：BS-Bézier算子列 逼近性质 有界函数 LEBESGUE-STIELTJES积分 

分 类 号：O174.41[理学—数学]