Introduction to the Theory of Functional Equations and Inequalities
General Material Designation
[Book]
.PUBLICATION, DISTRIBUTION, ETC
Date of Publication, Distribution, etc.
2009
CONTENTS NOTE
Text of Note
Preliminaries.- Set Theory.- Topology.- Measure Theory.- Algebra.- Cauchy's Functional Equation and Jensen's Inequality.- Additive Functions and Convex Functions.- Elementary Properties of Convex Functions.- Continuous Convex Functions.- Inequalities.- Boundedness and Continuity of Convex Functions and Additive Functions.- The Classes A, B, ?.- Properties of Hamel Bases.- Further Properties of Additive Functions and Convex Functions.- Related Topics.- Related Equations.- Derivations and Automorphisms.- Convex Functions of Higher Orders.- Subadditive Functions.- Nearly Additive Functions and Nearly Convex Functions.- Extensions of Homomorphisms.