摘要
引入比较函数概念,并使用比较函数概念在赋范线性空间中建立了Taylor公式"中间点"新的渐近估计式,也给出例子说明本文结果的有效性和广泛性,从而统一和发展了现有文献的相应结果.
We first introduce the concept of comparison function,and then establish several new asymptotic estimation formulas of the"intermediate point"for Taylor formula in normed linear spaces by using the concept of comparison function. An example is given to illustrate the validity and universality of the result presented in this paper,which unifies and extends the correspending results of some reference.
作者
张树义
丛培根
张芯语
ZHANG Shu-yi;CONG Pei-gen;ZHANG Xin-yu(College of Mathematics and Physics,Bohai University,Jinzhou 121013,China)
出处
《烟台大学学报(自然科学与工程版)》
CAS
2018年第3期189-192,共4页
Journal of Yantai University(Natural Science and Engineering Edition)
基金
国家自然科学基金资助项目(11371070)
渤海大学研究生创新基金项目(YJC20170036)
关键词
比较函数概念
中间点
F-导数
TAYLOR公式
concept of comparison function
intermediate point
F-derivative
Taylor formula