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Continuous versions of some classical inequalities

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Continuous versions of some classical inequalitiesby Ludmila Nikolova, Lars-Erik Persson, Sanja Varošanec.
作者:	Nikolova, L.
其他作者:	Persson, Lars-Erik.
出版者:	Cham :Springer Nature Switzerland :2025.
面頁冊數:	xii, 144 p. :ill. (chiefly color), digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Inequalities (Mathematics)
電子資源:	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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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.
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