二元广义Baskakov算子逼近的余项定理  

Remainder theorem of approximation by two-dimensional generalized Baskakov operators

作　　者：孔妮娜[1] 黄永东[1] 

机构地区：[1]北方民族大学信息与计算科学学院,宁夏银川750021

出　　处：《西北师范大学学报（自然科学版）》2014年第4期18-20,共3页Journal of Northwest Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(10961001);北方民族大学校级科学研究基金资助项目(2011Y024)

摘　　要：引进二元广义Baskakov算子逼近的余项定义,并针对三类不同函数的余项给出了的三种估计形式,推广了一元广义Baskakov算子逼近的余项估计结果,同时改进了二元广义Baskakov算子逼近度的定理.The definition of approximated remainders with two-dimensional generalized Baskakov operators is introduced,the remainders are discussed for three kinds of functions,and three forms of estimated remainders are obtained.The results of remainder estimation of approximation by generalized Baskakov operator are extended,and the theorems of approximation degree of two-dimensional generalized Baskakov operators are improved,so that the results become even more precisely.

关 键 词：二元广义Baskakov算子 逼近 余项 

分 类 号：O174.41[理学—数学]