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-Musz?ly 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 StaniBsaw 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.
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; font-size: 10pt; line-height: 115%; font-family: NimbusRomNo9L-Regu; >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-Musz?ly 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 JabBoDska).- 8.lă'
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