Developments in Functional Equations and Related Topics

Herausgegeben:Brzdek, Janusz; Cieplinski, Krzysztof; Rassias, Themistocles M.

• Broschiertes Buch

Produktbeschreibung

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 meansApproximate isometriesFunctional equations in hypergroupsStability of functional equationsFischer-Muszély equationHaar meager sets and Haar null setsDynamical systemsFunctional equations in probability theoryStochastic convex orderingDhombres functional equationNonstandard analysis and Ulam stabilityThis 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.

Produktdetails

• Springer Optimization and its Applications 124
• Verlag: Springer / Springer International Publishing / Springer, Berlin
• Artikelnr. des Verlages: 978-3-319-87147-9
• Softcover reprint of the original 1st ed. 2017
• Seitenzahl: 364
• Erscheinungstermin: 12. Mai 2018
• Englisch
• Abmessung: 235mm x 155mm x 20mm
• Gewicht: 552g
• ISBN-13: 9783319871479
• ISBN-10: 3319871471
• Artikelnr.: 55126579

Inhaltsangabe

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).