Baskakov算子的收敛速度的新估计  

A New Estimate on the Rate of Convergence of Baskakov Operators

作　　者：邓朝阳 程亚琼 王平华[2] 

机构地区：[1]泉州医学高等专科学校,福建泉州362000 [2]泉州师范学院数学与计算机科学学院,福建泉州362000

出　　处：《福建师大福清分校学报》2013年第5期7-10,共4页Journal of Fuqing Branch of Fujian Normal University

摘　　要：对Guo和Kha等学者关于Baskakov算子收敛速度的估计问题,作进一步的探究,利用概率论等方法,对k阶矩重新计算和估计,得到Baskakov算子(0,+∞)在上收敛于[f(x+)+(x-)]/2的收敛速度更精确的系数估计。A further study has been made on the method of estimate on the rate of convergence of the Baskakov Operators proposed by Guo and Kha and other scholars. With the theory of probability method, the k-order moment has been recalculated and estimated, and we get a more accurate estimate of coefficients on convergence of Baskakov Operators converging [f （x＋）＋f （x-）]/2 on （0,＋∞）.

关 键 词：BASKAKOV算子 收敛速度 估计 

分 类 号：O174.41[理学—数学]