Mean Value Theorems and Functional Equations by P. K. Sahoo, T. Riedel
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.
Preface
Additive and Biadditive Functions
p. 1
Lagrange's Mean Value Theorem and Related Functional Equations
p. 25
Pompeiu's Mean Value Theorem and Associated Functional Equations
p. 83
Two-dimensional Mean Value Theorems and Functional Equations
p. 127
Some Generalizations of Lagrange's Mean Value Theorem
p. 147
Mean Value Theorems for Some Generalized Derivatives
p. 181
Some Integral Mean Value Theorems and Related Topics
p. 207
Bibliography
p. 233
Index
p. 242
