03479nam 22006615 450 991034931930332120200702124738.03-030-29268-110.1007/978-3-030-29268-3(CKB)4100000009374884(DE-He213)978-3-030-29268-3(MiAaPQ)EBC5905214(PPN)269146180(EXLCZ)99410000000937488420190925d2019 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierOn Hilbert-Type and Hardy-Type Integral Inequalities and Applications /by Bicheng Yang, Michael Th. Rassias1st ed. 2019.Cham :Springer International Publishing :Imprint: Springer,2019.1 online resource (X, 145 p. 1 illus.) SpringerBriefs in Mathematics,2191-81983-030-29267-3 1. 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. .This 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. .SpringerBriefs in Mathematics,2191-8198Operator theoryDynamicsErgodic theoryFunctions of real variablesNumerical analysisOperator Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M12139Dynamical Systems and Ergodic Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M1204XReal Functionshttps://scigraph.springernature.com/ontologies/product-market-codes/M12171Numerical Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M14050Operator theory.Dynamics.Ergodic theory.Functions of real variables.Numerical analysis.Operator Theory.Dynamical Systems and Ergodic Theory.Real Functions.Numerical Analysis.515.724515.46Yang Bichengauthttp://id.loc.gov/vocabulary/relators/aut781675Rassias Michael Thauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910349319303321On Hilbert-Type and Hardy-Type Integral Inequalities and Applications2510586UNINA