广义LupasBaskakov算子关于导数为局部有界函数的点态逼近估计

广义LupasBaskakov算子关于导数为局部有界函数的点态逼近估计

周运明

山东理工大学数学与信息科学学院，山东淄博255049

收稿日期:2005-03-05 修回日期:1900-01-01 出版日期:2006-10-24 发布日期:2006-10-24
通讯作者: 周运明

Pointwise approximation of generalized lupas-baskakov operators for functions with locally bounded derivatives

ZHOU Yunming

School of Math. and Info.,Shandong Univ.of Technology,Zibo 255049,Shandong, China

Received:2005-03-05 Revised:1900-01-01 Online:2006-10-24 Published:2006-10-24
Contact: ZHOU Yunming

摘要/Abstract

摘要： 得到了广义LupasBaskakov算子一阶绝对矩量的渐近估计式，并结合区间分割技术和BojanicCheng方法研究了广义LupasBaskakov算子关于导函数为局部有界函数的点态逼近估计.

关键词: 广义LupasBaskakov算子, 局部有界函数, 一阶绝对矩量

Abstract: Asymptotic approximation of one order absolute moment for Generalized Lupas-Baskakov operators by means of analysis technique is obtained, and the rate of Convergence of generalized Lupas-Baskakov operators by means of Bojanic-Cheng methods combining with division technique of interval for functions with locally bounded derivative is studied.

Key words: one order absolute moment , locally bounded functions, generalized LupasBaskakov operators

中图分类号:

O174.41

周运明 . 广义LupasBaskakov算子关于导数为局部有界函数的点态逼近估计[J]. J4, 2006, 41(1): 69-73 .

ZHOU Yunming . Pointwise approximation of generalized lupas-baskakov operators for functions with locally bounded derivatives[J]. J4, 2006, 41(1): 69-73 .

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