Continuous Versions of Some Classical Inequalities / / by Ludmila Nikolova, Lars-Erik Persson, Sanja Varošanec
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| Autore: |
Nikolova Ludmila
|
| Titolo: |
Continuous Versions of Some Classical Inequalities / / by Ludmila Nikolova, Lars-Erik Persson, Sanja Varošanec
|
| Pubblicazione: | Cham : , : Springer Nature Switzerland : , : Imprint : Birkhäuser, , 2025 |
| Edizione: | 1st ed. 2025. |
| Descrizione fisica: | 1 online resource (XII, 144 p. 2 illus. in color.) |
| Disciplina: | 515.8 |
| Soggetto topico: | Functions of real variables |
| Difference equations | |
| Functional equations | |
| Functional analysis | |
| Real Functions | |
| Difference and Functional Equations | |
| Functional Analysis | |
| Persona (resp. second.): | PerssonLars-Erik |
| VarošanecSanja | |
| Nota di contenuto: | - 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. |
| 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. |
| Titolo autorizzato: | Continuous Versions of Some Classical Inequalities |
| ISBN: | 3-031-83372-4 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910999672003321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Frontiers in Mathematics, . 1660-8054