LEADER 06645nam 22008655 450 001 9910299990903321 005 20200629210202.0 010 $a1-4939-1246-1 024 7 $a10.1007/978-1-4939-1246-9 035 $a(CKB)3710000000291232 035 $a(EBL)1968209 035 $a(OCoLC)896342539 035 $a(SSID)ssj0001386521 035 $a(PQKBManifestationID)11896985 035 $a(PQKBTitleCode)TC0001386521 035 $a(PQKBWorkID)11374283 035 $a(PQKB)11051608 035 $a(MiAaPQ)EBC1968209 035 $a(DE-He213)978-1-4939-1246-9 035 $a(PPN)18309686X 035 $a(EXLCZ)993710000000291232 100 $a20141118d2014 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aHandbook of Functional Equations $eFunctional Inequalities /$fedited by Themistocles M. Rassias 205 $a1st ed. 2014. 210 1$aNew York, NY :$cSpringer New York :$cImprint: Springer,$d2014. 215 $a1 online resource (555 p.) 225 1 $aSpringer Optimization and Its Applications,$x1931-6828 ;$v95 300 $aDescription based upon print version of record. 311 $a1-4939-1245-3 320 $aIncludes bibliographical references. 327 $aOn a Relation Between the Hardy?Hilbert and the Gabriel Inequality (V. Adiyasunen, T. Batbold) -- Mathematical Models of Mechanical Fields in Media with Inclusions and Holes (M. Bryla, A.V. Krupoderov, A.A. Kushunin, V. Mityushev) -- A Note on the Functions that are Approximately p-Write Affine (J. Brzdek) -- Multiplicative Ostrowski and Trapezoid Inequalities (P. Cerone, S. Dragomir, E. Kikianty) -- A Survey on Ostrowski Type Inequalities for Riemann?Stieltjes Integral (W.S. Cheung, S.S. Dragomir) -- Invariance in the Family of Weighted Gini Means (I. Costin, G. Toader) -- Functional Inequalities and Analysis of Contagion in the Financial Networks (P. Daniele, S. Giuffe,k M. Lorino, A. Maugeri, C. Mirabella) -- Comparisons of Means and Related Functional Inequalities (W. Fechner) -- Constructions and Extensions of Free and Controlled Additive Relations (T. Glavosits, A. Szaz) -- Extremal Problems in Polynomials and Entire Functions (N.K. Govil, Q. M. Tariq) -- On Approximation Properties of Szasz?Mirakyan Operators (V. Gupta) -- Generalized Hardy?Hilbert Type Inequalities on Multiple Weighted Orlicz Spaces (K. Jichang) -- Inequalities for the Fisher's Information Measures (C.P. Kitsos, T.L. Toulias) -- Applications of Functional Equations to Dirichlet Problem for Double Connected Domains (V. Mityushev) -- Sign-Changing Solutions for Nonlinear Elliptic Problems Depending on Parameters (D. Motreanu, V.V. Motreanu) -- On Strongly Convex Functions and Related Classes of Functions (K. Nikodem) -- Some New Algorithms for Solving General Equilibrium Problems (M.A. Noor, Th.M. Rassias) -- Contractive Operators in Relational Metric Spaces (M. Turinici) -- Half-Discrete Hilbert-Type Inequalities, Operators, and Compositions (B. Yang) -- Some Results Concerning Hardy and Hardy-Type Inequalities (N.B. Zographopoulos). 330 $aAs Richard Bellman has so elegantly stated at the Second International Conference on General Inequalities (Oberwolfach, 1978), ?There are three reasons for the study of inequalities: practical, theoretical, and aesthetic.? On the aesthetic aspects, he said, ?As has been pointed out, beauty is in the eye of the beholder. However, it is generally agreed that certain pieces of music, art, or mathematics are beautiful. There is an elegance to inequalities that makes them very attractive.? The content of the Handbook focuses mainly on both old and recent developments on approximate homomorphisms, on a relation between the Hardy?Hilbert and the Gabriel inequality, generalized Hardy?Hilbert type inequalities on multiple weighted Orlicz spaces, half-discrete Hilbert-type inequalities, on affine mappings, on contractive operators, on multiplicative Ostrowski and trapezoid inequalities, Ostrowski type inequalities for the  Riemann?Stieltjes integral, means and related functional inequalities, Weighted Gini means, controlled additive relations, Szasz?Mirakyan operators,  extremal problems in polynomials and entire functions,  applications of functional equations to Dirichlet problem for doubly connected domains, nonlinear elliptic problems depending on parameters, on strongly convex functions, as well as applications to some new algorithms for solving general equilibrium problems, inequalities for the Fisher?s information measures, financial networks, mathematical models of  mechanical fields in media with inclusions and holes.  . 410 0$aSpringer Optimization and Its Applications,$x1931-6828 ;$v95 606 $aDifference equations 606 $aFunctional equations 606 $aMathematical optimization 606 $aApplied mathematics 606 $aEngineering mathematics 606 $aSpecial functions 606 $aFunctional analysis 606 $aPhysics 606 $aDifference and Functional Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12031 606 $aOptimization$3https://scigraph.springernature.com/ontologies/product-market-codes/M26008 606 $aMathematical and Computational Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/T11006 606 $aSpecial Functions$3https://scigraph.springernature.com/ontologies/product-market-codes/M1221X 606 $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066 606 $aMathematical Methods in Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19013 615 0$aDifference equations. 615 0$aFunctional equations. 615 0$aMathematical optimization. 615 0$aApplied mathematics. 615 0$aEngineering mathematics. 615 0$aSpecial functions. 615 0$aFunctional analysis. 615 0$aPhysics. 615 14$aDifference and Functional Equations. 615 24$aOptimization. 615 24$aMathematical and Computational Engineering. 615 24$aSpecial Functions. 615 24$aFunctional Analysis. 615 24$aMathematical Methods in Physics. 676 $a515.75 702 $aRassias$b Themistocles M$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299990903321 996 $aHandbook of functional equations$91410667 997 $aUNINA