Taylor幂级数直接展开的新方法  

New Approach to Direct Expansion of Taylor Power Series

作　　者：常秀芳[1] 李高[1] 

机构地区：[1]大同大学煤炭工程学院,山西大同037003

出　　处：《河北北方学院学报（自然科学版）》2013年第5期1-3,共3页Journal of Hebei North University:Natural Science Edition

基　　金：山西大同大学教学改革资金资助项目(XJY2013211)

摘　　要：从函数可积分性质与基本积分法出发,导出了Taylor公式的新证法,打破了几百年来Cauchy繁琐的证法,并定义了积分型余项,进而加以推广和应用,得到了Taylor幂级数直接展开的新方法。A new proof of Taylor equation was derived by considering the integrable property of func-tions and the basic integration method,avoiding the tedious proof method which has existed for hundreds of years.The integral remainder term was also defined,with which a new approach to expansion of Tay-lor power series was obtained.

关 键 词：TAYLOR公式 积分型余项 TAYLOR级数 幂级数新展开法 

分 类 号：O173.1[理学—数学]