Developments in functional equations and related topics
著者
書誌事項
Developments in functional equations and related topics
（Springer optimization and its applications, v. 124）
Springer, c2017
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注記
Includes bibliographical references
内容説明・目次
内容説明
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-Muszely 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 Stanilsaw 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.
目次
- 1. The behavior of the difference between two means (Shoshana Abramovich).- 2. Isometric approximation in bounded sets and its applications (Pekka Alestalo).- 3.On the indicator plurality function (.25in
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- ">Anna Bahyrycz).- 4.The translation equation in the ring of formal power series over C and formal functional equations (Harald Fripertinger and Ludwig Reich).- 5. Fischer-Muszely additivity - a half century story (Roman Ger).- 6.Alien functional equations - a selective survey of results (Roman Ger and Maciej Sablik).- 7.Remarks on analogies between Haar meager sets and Haar null sets (Eliza Jablonska).- 8.On some inequalities inspired by the stability of dynamical system (Zenon Moszner).- 9. Homomorphisms from Functional Equations in Probability (Adam J. Ostaszewski).- 10.Recent developments in the translation equation and its stability (Barbara Przebieracz).- 11.On some recent applications of stochastic c onvex ordering theorems to some functional inequalities for convex functions - a survey (Teresa Rajba).- 12.On the construction of the field of reals by means of functional equations and their stability and related topics (Jens Schwaiger).- 13.Generalized Dhombres functional equation (Jaroslav Smital and Marta Stefankova).- 14.Functional equations and stability problems on hypergroups (Laszlo Szekelyhidi).- 15.Stability of systems of general functional equations in the compact-open topology (Pavol Zlatos).
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