LEADER 03368nam 22006615 450 001 9910299983403321 005 20200629172511.0 010 $a3-319-11002-0 024 7 $a10.1007/978-3-319-11002-8 035 $a(CKB)3710000000269647 035 $a(EBL)1965175 035 $a(SSID)ssj0001372596 035 $a(PQKBManifestationID)11734864 035 $a(PQKBTitleCode)TC0001372596 035 $a(PQKBWorkID)11305031 035 $a(PQKB)11376670 035 $a(MiAaPQ)EBC1965175 035 $a(DE-He213)978-3-319-11002-8 035 $a(PPN)182094502 035 $a(EXLCZ)993710000000269647 100 $a20141030d2014 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aDynamic Inequalities On Time Scales$b[electronic resource] /$fby Ravi Agarwal, Donal O'Regan, Samir Saker 205 $a1st ed. 2014. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2014. 215 $a1 online resource (264 p.) 300 $aDescription based upon print version of record. 311 $a3-319-11001-2 320 $aIncludes bibliographical references and index. 327 $aPreliminaries -- Basic Inequalities -- Opial Inequalities -- Lyapunov Inequalities -- Halanay Inequalities -- Wirtinger Inequalities. 330 $aThis is a monograph devoted to recent research and results on dynamic inequalities on time scales. The study of dynamic inequalities on time scales has been covered extensively in the literature in recent years and has now become a major sub-field in pure and applied mathematics. In particular, this book will cover recent results on integral inequalities, including Young's inequality, Jensen's inequality, Holder's inequality, Minkowski's inequality, Steffensen's inequality, Hermite-Hadamard inequality and ?eby?v's inequality. Opial type inequalities on time scales and their extensions with weighted functions, Lyapunov type inequalities, Halanay type inequalities for dynamic equations on time scales, and Wirtinger type inequalities on time scales and their extensions will also be discussed here in detail. 606 $aFunctional analysis 606 $aFunctions of complex variables 606 $aMeasure theory 606 $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066 606 $aSeveral Complex Variables and Analytic Spaces$3https://scigraph.springernature.com/ontologies/product-market-codes/M12198 606 $aMeasure and Integration$3https://scigraph.springernature.com/ontologies/product-market-codes/M12120 615 0$aFunctional analysis. 615 0$aFunctions of complex variables. 615 0$aMeasure theory. 615 14$aFunctional Analysis. 615 24$aSeveral Complex Variables and Analytic Spaces. 615 24$aMeasure and Integration. 676 $a510 676 $a515.42 676 $a515.7 676 $a515.94 700 $aAgarwal$b Ravi$4aut$4http://id.loc.gov/vocabulary/relators/aut$0953465 702 $aO'Regan$b Donal$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aSaker$b Samir$4aut$4http://id.loc.gov/vocabulary/relators/aut 906 $aBOOK 912 $a9910299983403321 996 $aDynamic Inequalities On Time Scales$92512152 997 $aUNINA