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Continuous versions of some classical inequalities

Record Type:	Electronic resources : Monograph/item
Title/Author:	Continuous versions of some classical inequalitiesby Ludmila Nikolova, Lars-Erik Persson, Sanja Varošanec.
Author:	Nikolova, L.
other author:	Persson, Lars-Erik.
Published:	Cham :Springer Nature Switzerland :2025.
Description:	xii, 144 p. :ill. (chiefly color), digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Inequalities (Mathematics)
Online resource:	https://doi.org/10.1007/978-3-031-83372-4
ISBN:	9783031833724$q(electronic bk.)

Continuous versions of some classical inequalities
Nikolova, L.

Continuous versions of some classical inequalities[electronic resource] /by Ludmila Nikolova, Lars-Erik Persson, Sanja Varošanec. - Cham :Springer Nature Switzerland :2025. - xii, 144 p. :ill. (chiefly color), digital ;24 cm. - Frontiers in mathematics,1660-8054. - Frontiers in mathematics..

- 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.

ISBN: 9783031833724$q(electronic bk.)

Standard No.: 10.1007/978-3-031-83372-4doiSubjects--Topical Terms:

183909
Inequalities (Mathematics)

LC Class. No.: QA295

Dewey Class. No.: 515.26

Continuous versions of some classical inequalities
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490 1 $a Frontiers in mathematics, $x 1660-8054
505 0 $a - 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.
520 $a 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.
650 0 $a Inequalities (Mathematics) $3 183909
650 1 4 $a Real Functions. $3 273779
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700 1 $a Persson, Lars-Erik. $3 261300
700 1 $a Varošanec, Sanja. $3 991533
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950 $a Mathematics and Statistics (SpringerNature-11649)