2010•Journal of Anshan Normal UniversityRequires access

Several Comments on Differential Mean Value Theorem

Yumin Yang

Abstract

Differential mean value theorem is one of the basic theorem of mathematics analysis,and it is an important tool to research the formal of functions.Firstly,differential mean value theorem and its generalized formal are introduced.Secondly,the location of the point in mean value theorem and relations of Lagrange mean value theorem、Cauchy mean value theorem and integral mean value theorem are discussed in this paper.

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Available abstract

Key concepts: Mean value theorem (divided differences), Mathematics, Fundamental theorem of calculus, Picard–Lindelöf theorem, Differential (mechanical device), Brouwer fixed-point theorem, Fundamental theorem, Value (mathematics)