Cover Image

An Introduction to the Theory of Functional Equations and Inequalities Cauchy<U+0019>s Equation and Jensen<U+0019>s Inequality /

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 Krakw̤. He defended his doctoral dissertation under the supervision of Stanislaw Golab. In the year of his habilitation, in 1963, he o...

Full description

Bibliographic Details
Main Author: Kuczma, Marek. (Author)
Corporate Author: SpringerLink (Online service)
Other Authors: Gilǹyi, Attila. (Editor)
Format: Electronic
Language:English
Published: Basel : Birkhũser Basel, 2009.
Edition:Second Edition.
Subjects:
Mathematics.
Global analysis (Mathematics).
Analysis.
Online Access:https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-7643-8749-5
Table of Contents:
  • Introduction
  • I. Set Theory
  • II. Topology
  • III. Measure Theory
  • IV. Algebra
  • V. Additive Functions and Convex Functions
  • VI. Elementary Properties of Convex Functions
  • VII. Continuous Convex Functions
  • VIII. Inequalities
  • IX. Boundedness and Continuity of Convex and Additive Functions
  • X. The Classes A, B, C
  • XI. Properties of Hamel Bases
  • XII. Further Properties of Additive and Convex Functions
  • XIII. Related Equations
  • XIV. Derivations and Automorphisms
  • XV. Convex Functions of Higher Order
  • XVI. Subadditive Functions
  • XVII. Nearly Additive and Nearly Convex Functions
  • XVIII. Extensions of Homomorphisms
  • Bibliography.

Similar Items