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2007•Journal of Jinhua College of Profession and TechnologyRequires access

A Further Study on Cauchy Mean-Value Theorem

Shen Li-hong

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Abstract

This paper introduces the proof and application of Cauchy mean-value theorem from many angles.The proof methods are closed interval suit theorem and the inverse method.The application aspects are: proving unanimously successive;researching the problem of fixed point,being the relationship between function and derivative,and demonstrating the mean-value formula.

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What this paper is about

This paper introduces the proof and application of Cauchy mean-value theorem from many angles.The proof methods are closed interval suit theorem and the inverse method.The application aspects are: proving unanimously successive;researching the problem of fixed point,being the relationship between function and derivative,and demonstrating the mean-value formula.

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Available abstract

This paper introduces the proof and application of Cauchy mean-value theorem from many angles.The proof methods are closed interval suit theorem and the inverse method.The application aspects are: proving unanimously successive;researching the problem of fixed point,being the relationship between function and derivative,and demonstrating the mean-value formula.

Key concepts: Mathematics, Mean value theorem (divided differences), Cauchy distribution, Residue theorem, Mean value, Fixed-point theorem, Value (mathematics), Cauchy's integral theorem

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