The Asymptotic Property of Generalized Taylor Remainder 'Mean Value Point'

摘要

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.