摘要
文章研究了Bernstein-Bezier-Kantorovich算子列关于一般有界函数的逼近阶估计,得到一个其收敛阶的精确估计公式.有界变差函数的逼近情况成为本文结果的特例.文章的研究拓展了文献[J.Approx.Theory95(1998),369-387]的工作.
The rate of approximation of Bernstein-Bezier-Kantorovich operators L^((α))_n for bounded functions is studied and an estimate formula on the rate of convergence of this type approximation is given. Our result includes the approximation of functions of bounded variation as a special case.Our study extends Zeng and Piriou's work on [J. Approx. Theory 95 (1998),369-387].
出处
《太原师范学院学报(自然科学版)》
2005年第2期1-4,共4页
Journal of Taiyuan Normal University:Natural Science Edition
基金
福建省自然科学基金资助编号A00210004.