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Summary:

This book presents current research on Ulam stability for functional equations and inequalities. Contributions from renowned scientists emphasize fundamental and new results, methods and techniques. Detailed examples are given to theories to further understanding at the graduate level for students in mathematics, physics, and engineering. Key topics covered in this book include: Quasi means Approximate isometries Functional equations in hypergroups Stability of functional equations Fischer-Muszély equation Haar meager sets and Haar null sets Dynamical systems Functional equations in probability theory Stochastic convex ordering Dhombres functional equation Nonstandard analysis and Ulam stability This book is dedicated in memory of Staniłsaw Marcin Ulam, who posed the fundamental problem concerning approximate homomorphisms of groups in 1940; which has provided the stimulus for studies in the stability of functional equations and inequalities.

Table of Contents:

• The behavior of the difference between two means
• Isometric approximation in bounded sets and its applications
• On the indicator plurality function
• The translation equation in the ring of formal power series over C and formal functional equations
• Fischer-Muszély additivity: A half-century story
• Alien functional equations: A selective survey of results
• Remarks on analogies between Haar meager sets and Haar null sets
• On some inequalities inspired by the stability of dynamical system
• Homomorphisms from functional equations in probability
• Recent developments in the translation equation and its stability
• On some recent applications of stochastic convex ordering theorems to some functional inequalities for convex functions: A survey
• On the construction of the field of reals by means of functional equations and their stability and related topics
• Generalized Dhombres functional equation
• Functional equations and stability problems on hypergroups
• Stability of systems of general functional equations in the compact-open topology.

Contributors:

Brzdȩk, Janusz , editor

Languages:

English

Language Notes:

Item content: English

Other Related Resources:

Print version: Developments in functional equations and related topics (Cham : Springer, ©2017 — ISBN 3319617311; ISBN 9783319617312; OCLC Number 988282577)

Related Series:

Springer optimization and its applications; v. 124

Subjects:

Functional equations

Mathematics

Distribution (Probability theory)

distribution (statistics-related concept)

General Notes:

Includes bibliographical references.
Description based on: Print version record.

Physical Description:

1 online resource (xii, 352 pages).

Digital Characteristics:

text file

Call Numbers:

QA431 .D484 2017eb

ISBNs:

9783319617329 (electronic bk.)
331961732X (electronic bk.)
9783319617312 [Invalid]
3319617311 [Invalid]

Other Standard Numbers:

Digital Object Identifier: 10.1007/978-3-319-61732-9

OCLC Numbers:

1001336124