Author: P K Sahoo

Publisher: World Scientific

ISBN: 9789814495875

Release Date: 1998-10-30

Genre: Mathematics

This book takes 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 the 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. Contents:Additive and Biadditive FunctionsLagrange's Mean Value Theorem and Related Functional EquationsPompeiu's Mean Value Theorem and Associated Functional EquationsTwo-Dimensional Mean Value Theorems and Functional EquationsSome Generalizations of Lagrange's Mean Value TheoremMean Value Theorems for Some Generalized DerivativesSome Integral Mean Value Theorems and Related Topics Readership: Pure mathematicians. Keywords:Functional Equations;Integral Mean Value Theorem;Cauchy Mean Value Theorem;Inequalities;Mean Values;Textbook;Pompeiu Mean Value Theorem;Flett Mean Value Theorem;Trahan Mean Value Theorem;Differential Mean Value Theorem;Lagrange Mean Value Theorem