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Record Nr. |
UNINA9910999672003321 |
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Autore |
Nikolova L (Ludmila) |
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Titolo |
Continuous Versions of Some Classical Inequalities / / by Ludmila Nikolova, Lars-Erik Persson, Sanja Varošanec |
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Pubbl/distr/stampa |
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Cham : , : Springer Nature Switzerland : , : Imprint : Birkhäuser, , 2025 |
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ISBN |
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Edizione |
[1st ed. 2025.] |
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Descrizione fisica |
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1 online resource (XII, 144 p. 2 illus. in color.) |
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Collana |
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Frontiers in Mathematics, , 1660-8054 |
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Disciplina |
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Soggetti |
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Functions of real variables |
Difference equations |
Functional equations |
Functional analysis |
Real Functions |
Difference and Functional Equations |
Functional Analysis |
Funcions de variables reals |
Equacions en diferències |
Equacions funcionals |
Llibres electrònics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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- 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. |
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Sommario/riassunto |
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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 |
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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. |
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