The Asymptotic Property of Generalized Taylor Remainder ＂Mean Value Point＂
RENLi-shun, ZHANGCai-yu · 数学季刊：英文版 · 2004
This paper discussed asymptotic property of Taylor remainder mean value point in normed Linear space. The asymptotic progerty of mean value point is solved when f^(n+i)(x0)h^(n+i)=0(i=1,2,……,p-1) and f^(n+p)(x0)h^(h+p) don't exist. Meanwhile, achicve more general asymptotic estimation formula. Make many former results are just because of special case of the pager.