LEADER 03479nam 22006615 450 001 9910349319303321 005 20200702124738.0 010 $a3-030-29268-1 024 7 $a10.1007/978-3-030-29268-3 035 $a(CKB)4100000009374884 035 $a(DE-He213)978-3-030-29268-3 035 $a(MiAaPQ)EBC5905214 035 $a(PPN)269146180 035 $a(EXLCZ)994100000009374884 100 $a20190925d2019 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aOn Hilbert-Type and Hardy-Type Integral Inequalities and Applications /$fby Bicheng Yang, Michael Th. Rassias 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019. 215 $a1 online resource (X, 145 p. 1 illus.) 225 1 $aSpringerBriefs in Mathematics,$x2191-8198 311 $a3-030-29267-3 327 $a1. Introduction -- 2.Equivalent Statements of Hilbert-type integral inequalities -- 3.Equivalent Statements of the Reverse Hilbert-Type Integral Inequalities -- 4. Equivalent Statements of Hardy-Type Integral Inequalities -- 5.Equivalent Property of the Reverse Hardy-Type Integral Inequalities -- References. . 330 $aThis book is aimed toward graduate students and researchers in mathematics, physics and engineering interested in the latest developments in analytic inequalities, Hilbert-Type and Hardy-Type integral inequalities, and their applications. Theories, methods, and techniques of real analysis and functional analysis are applied to equivalent formulations of Hilbert-type inequalities, Hardy-type integral inequalities as well as their parameterized reverses. Special cases of these integral inequalities across an entire plane are considered and explained. Operator expressions with the norm and some particular analytic inequalities are detailed through several lemmas and theorems to provide an extensive account of inequalities and operators. . 410 0$aSpringerBriefs in Mathematics,$x2191-8198 606 $aOperator theory 606 $aDynamics 606 $aErgodic theory 606 $aFunctions of real variables 606 $aNumerical analysis 606 $aOperator Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M12139 606 $aDynamical Systems and Ergodic Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M1204X 606 $aReal Functions$3https://scigraph.springernature.com/ontologies/product-market-codes/M12171 606 $aNumerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M14050 615 0$aOperator theory. 615 0$aDynamics. 615 0$aErgodic theory. 615 0$aFunctions of real variables. 615 0$aNumerical analysis. 615 14$aOperator Theory. 615 24$aDynamical Systems and Ergodic Theory. 615 24$aReal Functions. 615 24$aNumerical Analysis. 676 $a515.724 676 $a515.46 700 $aYang$b Bicheng$4aut$4http://id.loc.gov/vocabulary/relators/aut$0781675 702 $aRassias$b Michael Th$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910349319303321 996 $aOn Hilbert-Type and Hardy-Type Integral Inequalities and Applications$92510586 997 $aUNINA