LEADER 05477nam 22007335 450 001 9910799242903321 005 20200702005109.0 010 $a3-319-61732-X 024 7 $a10.1007/978-3-319-61732-9 035 $a(CKB)3710000001631064 035 $a(MiAaPQ)EBC4947293 035 $a(DE-He213)978-3-319-61732-9 035 $z(PPN)258855118 035 $a(PPN)203851005 035 $a(EXLCZ)993710000001631064 100 $a20170814d2017 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $2rdacontent 182 $2rdamedia 183 $2rdacarrier 200 10$aDevelopments in Functional Equations and Related Topics $b[electronic resource] /$fedited by Janusz Brzd?k, Krzysztof Ciepli?ski, Themistocles M. Rassias 205 $a1st ed. 2017. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2017. 215 $a1 online resource (354 pages) 225 1 $aSpringer Optimization and Its Applications,$x1931-6828 ;$v124 311 $a3-319-61731-1 320 $aIncludes bibliographical references at the end of each chapters. 327 $a1. 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 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 Smítal and Marta ?tefánková) -- 14.Functional equations and stability problems on hypergroups (László Székelyhidi) -- 15.Stability of systems of general functional equations in the compact-open topology (Pavol Zlato?). 330 $aThis book presents current research on Ulam stability for functional equations and inequalities. Contributions from renowned scientists emphasize fundamental and new results, methods and techniques. Detailed examples are given to theories to further understanding at the graduate level for students in mathematics, physics, and engineering. Key topics covered in this book include: Quasi means Approximate isometries Functional equations in hypergroups Stability of functional equations Fischer-Muszély equation Haar meager sets and Haar null sets Dynamical systems Functional equations in probability theory Stochastic convex ordering Dhombres functional equation Nonstandard analysis and Ulam stability This book is dedicated in memory of Stani?saw Marcin Ulam, who posed the fundamental problem concerning approximate homomorphisms of groups in 1940; which has provided the stimulus for studies in the stability of functional equations and inequalities. 410 0$aSpringer Optimization and Its Applications,$x1931-6828 ;$v124 606 $aDifference equations 606 $aFunctional equations 606 $aApproximation theory 606 $aDifferential geometry 606 $aFunctional analysis 606 $aProbabilities 606 $aDifference and Functional Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12031 606 $aApproximations and Expansions$3https://scigraph.springernature.com/ontologies/product-market-codes/M12023 606 $aDifferential Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21022 606 $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066 606 $aProbability Theory and Stochastic Processes$3https://scigraph.springernature.com/ontologies/product-market-codes/M27004 615 0$aDifference equations. 615 0$aFunctional equations. 615 0$aApproximation theory. 615 0$aDifferential geometry. 615 0$aFunctional analysis. 615 0$aProbabilities. 615 14$aDifference and Functional Equations. 615 24$aApproximations and Expansions. 615 24$aDifferential Geometry. 615 24$aFunctional Analysis. 615 24$aProbability Theory and Stochastic Processes. 676 $a515.75 702 $aBrzd?k$b Janusz$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aCiepli?ski$b Krzysztof$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aRassias$b Themistocles M$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910799242903321 996 $aDevelopments in Functional Equations and Related Topics$91561721 997 $aUNINA