LEADER 03570nam 22006975 450 001 9910999672003321 005 20260126155152.0 010 $a3-031-83372-4 024 7 $a10.1007/978-3-031-83372-4 035 $a(CKB)38641694700041 035 $a(DE-He213)978-3-031-83372-4 035 $a(MiAaPQ)EBC32029794 035 $a(Au-PeEL)EBL32029794 035 $a(EXLCZ)9938641694700041 100 $a20250427d2025 u| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aContinuous Versions of Some Classical Inequalities /$fby Ludmila Nikolova, Lars-Erik Persson, Sanja Varo?anec 205 $a1st ed. 2025. 210 1$aCham :$cSpringer Nature Switzerland :$cImprint: Birkhäuser,$d2025. 215 $a1 online resource (XII, 144 p. 2 illus. in color.) 225 1 $aFrontiers in Mathematics,$x1660-8054 311 08$a3-031-83371-6 327 $a- 1. Continuous Forms of Classical Inequalities -- 2. Refinements of Continuous Forms of Inequalities -- 3. Refinements of Inequalities via Strong Convexity and Superquadracity -- 4. Functionals Associated with Continuous Forms of Inequalities -- 5. Some Classical Inequalities Involving Banach Lattice Norms. 330 $aThis book presents the new fascinating area of continuous inequalities. It was recently discovered that several of the classical inequalities can be generalized and given in a more general continuous/family form. The book states, proves and discusses a number of classical inequalities in such continuous/family forms. Moreover, since many of the classical inequalities hold also in a refined form, it is shown that such refinements can be proven in the more general continuous/family frame. Written in a pedagogical and reader-friendly way, the book gives clear explanations and examples on how this technique works. The presented interplay between classical theory of inequalities and these newer continuous/family forms, including some corresponding open questions, will appeal to a broad audience of mathematicians and serve as a source of inspiration for further research. 410 0$aFrontiers in Mathematics,$x1660-8054 606 $aFunctions of real variables 606 $aDifference equations 606 $aFunctional equations 606 $aFunctional analysis 606 $aReal Functions 606 $aDifference and Functional Equations 606 $aFunctional Analysis 606 $aFuncions de variables reals$2thub 606 $aEquacions en diferències$2thub 606 $aEquacions funcionals$2thub 608 $aLlibres electrònics$2thub 615 0$aFunctions of real variables. 615 0$aDifference equations. 615 0$aFunctional equations. 615 0$aFunctional analysis. 615 14$aReal Functions. 615 24$aDifference and Functional Equations. 615 24$aFunctional Analysis. 615 7$aFuncions de variables reals 615 7$aEquacions en diferències 615 7$aEquacions funcionals 676 $a515.8 700 $aNikolova$b L$g(Ludmila),$4aut$4http://id.loc.gov/vocabulary/relators/aut$0459338 702 $aPersson$b Lars-Erik$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aVaro?anec$b Sanja$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910999672003321 996 $aContinuous Versions of Some Classical Inequalities$94524175 997 $aUNINA