03570nam 22006975 450 991099967200332120260126155152.03-031-83372-410.1007/978-3-031-83372-4(CKB)38641694700041(DE-He213)978-3-031-83372-4(MiAaPQ)EBC32029794(Au-PeEL)EBL32029794(EXLCZ)993864169470004120250427d2025 u| 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierContinuous Versions of Some Classical Inequalities /by Ludmila Nikolova, Lars-Erik Persson, Sanja Varošanec1st ed. 2025.Cham :Springer Nature Switzerland :Imprint: Birkhäuser,2025.1 online resource (XII, 144 p. 2 illus. in color.)Frontiers in Mathematics,1660-80543-031-83371-6 - 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.This 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.Frontiers in Mathematics,1660-8054Functions of real variablesDifference equationsFunctional equationsFunctional analysisReal FunctionsDifference and Functional EquationsFunctional AnalysisFuncions de variables realsthubEquacions en diferènciesthubEquacions funcionalsthubLlibres electrònicsthubFunctions of real variables.Difference equations.Functional equations.Functional analysis.Real Functions.Difference and Functional Equations.Functional Analysis.Funcions de variables realsEquacions en diferènciesEquacions funcionals515.8Nikolova L(Ludmila),authttp://id.loc.gov/vocabulary/relators/aut459338Persson Lars-Erikauthttp://id.loc.gov/vocabulary/relators/autVarošanec Sanjaauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910999672003321Continuous Versions of Some Classical Inequalities4524175UNINA