广义Taylor中值函数若干分析性质  

Several Analytic Properties of Median Function of Generalized Taylor

作　　者：樊守芳[1] 

机构地区：[1]绥化学院,黑龙江绥化152061

出　　处：《大学数学》2008年第1期180-186,共7页College Mathematics

基　　金：黑龙江省教育厅科学技术研究资助项目(11521334)

摘　　要：文[2-8]对微分中值定理及Taylor定理"中间点"的渐近性质进行了研究,本文在此基础上,给出了"广义Taylor中值函数"的定义,对"广义Taylor中值函数"的分析性质进行了系统的讨论,证明了"广义Taylor中值函数"的单调性、可积性、连续性、可微性等分析性质.Having made a study asymptotic properties of ＂the intermediate point＂ of mean-value theorem of differentials and Taylor theorem in Quotation[2- 8], on the basis of this, to give the definition of generalized Taylor median function, have a systematic discussion about the analytic property of generalized Taylor median function and give proof of the analytic property with monotonicity, integrability, continuity and differentiability of generalized Taylor median function, etc. in this paper.

关 键 词：广义Taylor中值函数 单调性 可积性 连续性 可微性 

分 类 号：O172[理学—数学]