An Introduction to the Theory of Functional Equations and Inequalities Cauchy’s Equation and Jensen’s Inequality /

• Κύριος συγγραφέας: Kuczma, Marek (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Gilányi, Attila (Επιμελητής έκδοσης)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Basel : Birkhäuser Basel, 2009.
• Έκδοση: Second Edition.
• Θέματα: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Analysis.

Marek Kuczma was born in 1935 in Katowice, Poland, and died there in 1991. After finishing high school in his home town, he studied at the Jagiellonian University in Kraków. He defended his doctoral dissertation under the supervision of Stanislaw Golab. In the year of his habilitation, in 1963, he o...

Πίνακας περιεχομένων:

• 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.