Developments in Functional Equations and Related Topics

Janusz Brzdęk, Krzysztof Ciepliński, Themistocles M. Rassias (Herausgeber)

Buch | Softcover

XII, 352 Seiten

2018 | 1. Softcover reprint of the original 1st ed. 2017
Springer International Publishing (Verlag)
978-3-319-87147-9 (ISBN)

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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 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.

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-Muszély 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 Smítal and Marta Stefánková).- 14.Functional equations and stability problems on hypergroups (László Székelyhidi).- 15.Stability of systems of general functional equations in the compact-open topology (Pavol Zlatos).

Erscheinungsdatum	10.12.2018
Reihe/Serie	Springer Optimization and Its Applications
Zusatzinfo	XII, 352 p. 2 illus.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	5504 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Schlagworte	compact-open topology • Dhombres functional equation • Dynamical system • Fischer-MuszÃ©ly additivity • Fischer-Muszély additivity • Haar meager sets • Haar null sets • Homomorphisms from Functional Equations • indicator plurality function • inequalities in a single variable • Isometric approximation • K-metric spaces • linear functional equations • Perov type fixed point theorems • ring of formal power series • set-valued functional equations • stability of nearisometries • Stability of systems • stability problems on hypergroups • stochastic convex ordering theorems • Ulam's stability of linear operators • Ulam’s stability of linear operators
ISBN-10	3-319-87147-1 / 3319871471
ISBN-13	978-3-319-87147-9 / 9783319871479
Zustand	Neuware