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Mean Value Theorems and Functional Equations

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A comprehensive look at mean value theorems and their connection with functional equations. Besides the traditional Lagrange and Cauchy mean value theorems, it covers the Pompeiu and Flett mean value theorems, as well as extension to higher dimensions and the complex plane. Furthermore, the reader is introduced to the field of functional equations through equations that arise in connection with the many mean value theorems discussed.

Author(s): P. K. Sahoo, T. Riedel
Publisher: World Scientific
Year: 1999

Language: English
Pages: xii+245
Tags: Математика;Математический анализ;

Additive and Biadditive Functions
Lagrange's Mean Value Theorem and Related Functional Equations
Pompeiu's Mean Value Theorem and Associated Functional Equations
Two-Dimensional Mean Value Theorems and Functional Equations
Some Generalizations of Lagrange's Mean Value Theorem
Mean Value Theorems for Some Generalized Derivatives
Some Integral Mean Value Theorems and Related Topics