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Developments in Functional Equations and Related Topics /

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 i...

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Bibliographic Details
Corporate Authors: SpringerLink (Online service)
Group Author: Brzd k, Janusz (Editor); Ciepli ski, Krzysztof (Editor); Rassias, Themistocles M (Editor)
Published: Springer International Publishing : Imprint: Springer,
Publisher Address: Cham :
Publication Dates: 2017.
Literature type: eBook
Language: English
Series: Springer Optimization and Its Applications, 124
Subjects:
Mathematics.
Approximation theory.
Difference equations.
Functional equations.
Functional analysis.
Differential geometry.
Probabilities.
Difference and Functional Equations.
Approximations and expansions.
Probability Theory and Stochastic Processes.
Online Access: http://dx.doi.org/10.1007/978-3-319-61732-9
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-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 Stani saw 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.
Carrier Form: 1 online resource (XII, 352 pages): illustrations.
ISBN: 9783319617329
Index Number: QA431
CLC: O175
Contents: 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 Jab o ska) -- 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 Sm tal and Marta tef nkov ) -- 14.Functional equations and stability problems on hypergroups (L szl Sz kelyhidi) -- 15.Stability of systems of general functional equations in the compact-open topology (Pavol Zlato ).

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