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Continuous Versions of Some Classical Inequalities / by Ludmila Nikolova, Lars-Erik Persson, Sanja Varošanec

By: Contributor(s): Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Frontiers in MathematicsPublisher: Cham : Birkhäuser, 2025Edition: 1st ed. 2025Description: 1 Online-Ressource(XII, 144 p. 2 illus. in color.)ISBN:
  • 9783031833724
Subject(s): Additional physical formats: 9783031833717 | 9783031833731 | Erscheint auch als: 9783031833717 Druck-Ausgabe | Erscheint auch als: 9783031833731 Druck-Ausgabe | Erscheint auch als: Continuous versions of some classical inequalities. Druck-Ausgabe Cham : Birkhäuser, 2025. xii, 144 SeitenDDC classification:
  • 515.8 23
DOI: DOI: 10.1007/978-3-031-83372-4Online resources: Summary: - 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.Summary: 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.PPN: PPN: 1924006588Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SMA | ZDB-2-SXMS
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