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001 978-3-319-61732-9
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020 _a9783319617329
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024 7 _a10.1007/978-3-319-61732-9
_2doi
040 _aISI Library, Kolkata
050 4 _aQA431
072 7 _aPBKJ
_2bicssc
072 7 _aMAT034000
_2bisacsh
072 7 _aPBKJ
_2thema
082 0 4 _a515.625
_223
082 0 4 _a515.75
_223
245 1 0 _aDevelopments in Functional Equations and Related Topics
_h[electronic resource] /
_cedited by Janusz Brzdęk, Krzysztof Ciepliński, Themistocles M. Rassias.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2017.
300 _aXII, 352 p. 2 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringer Optimization and Its Applications,
_x1931-6828 ;
_v124
505 0 _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 Jabłońska) -- 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 Štefánková) -- 14.Functional equations and stability problems on hypergroups (László Székelyhidi) -- 15.Stability of systems of general functional equations in the compact-open topology (Pavol Zlatoš).
520 _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 Staniłsaw 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.
650 0 _aFunctional equations.
650 0 _aMathematics.
650 0 _aGlobal differential geometry.
650 0 _aFunctional analysis.
650 0 _aDistribution (Probability theory.
650 1 4 _aDifference and Functional Equations.
_0http://scigraph.springernature.com/things/product-market-codes/M12031
650 2 4 _aApproximations and Expansions.
_0http://scigraph.springernature.com/things/product-market-codes/M12023
650 2 4 _aDifferential Geometry.
_0http://scigraph.springernature.com/things/product-market-codes/M21022
650 2 4 _aFunctional Analysis.
_0http://scigraph.springernature.com/things/product-market-codes/M12066
650 2 4 _aProbability Theory and Stochastic Processes.
_0http://scigraph.springernature.com/things/product-market-codes/M27004
700 1 _aBrzdęk, Janusz.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
700 1 _aCiepliński, Krzysztof.
_eeditor.
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700 1 _aRassias, Themistocles M.
_eeditor.
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710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319617312
776 0 8 _iPrinted edition:
_z9783319617336
776 0 8 _iPrinted edition:
_z9783319871479
830 0 _aSpringer Optimization and Its Applications,
_x1931-6828 ;
_v124
856 4 0 _uhttps://doi.org/10.1007/978-3-319-61732-9
912 _aZDB-2-SMA
942 _cEB
950 _aMathematics and Statistics (Springer-11649)
999 _c427068
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