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[null,"1.","Record Nr.",null,"UNINA9910999672003321"]
[null,null,"Autore",null,"Nikolova Ludmila"]
[null,null,"Titolo",null,"Continuous Versions of Some Classical Inequalities / / by Ludmila Nikolova, Lars-Erik Persson, Sanja Varošanec"]
[null,null,"Pubbl/distr/stampa",null,"Cham : , : Springer Nature Switzerland : , : Imprint : Birkhäuser, , 2025"]
[null,null,"ISBN",null,"3-031-83372-4"]
[null,null,"Edizione",null,"[1st ed. 2025.]"]
[null,null,"Descrizione fisica",null,"1 online resource (XII, 144 p. 2 illus. in color.)"]
[null,null,"Collana",null,"Frontiers in Mathematics, , 1660-8054"]
[null,null,"Disciplina",null,"515.8"]
[null,null,"Soggetti",null,"Functions of real variables"]
[{"$nulls":4},"Difference equations"]
[{"$nulls":4},"Functional equations"]
[{"$nulls":4},"Functional analysis"]
[{"$nulls":4},"Real Functions"]
[{"$nulls":4},"Difference and Functional Equations"]
[{"$nulls":4},"Functional Analysis"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,"Nota di contenuto",null,"- 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."]
[null,null,null,"Sommario/riassunto","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."]