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Continuous Versions of Some Classical Inequalities / by Ludmila Nikolova, Lars-Erik Persson, Sanja Varošanec.
Springer Nature - Springer Mathematics and Statistics (R0) eBooks 2025 English International Available online
View online- Format:
- Book
- Author/Creator:
- Nikolova, L. (Ludmila), Author.
- Persson, Lars-Erik., Author.
- Varošanec, Sanja., Author.
- Series:
- Frontiers in Mathematics, 1660-8054
- Language:
- English
- Subjects (All):
- Functions of real variables.
- Difference equations.
- Functional equations.
- Functional analysis.
- Real Functions.
- Difference and Functional Equations.
- Functional Analysis.
- Local Subjects:
- Real Functions.
- Difference and Functional Equations.
- Functional Analysis.
- Physical Description:
- 1 online resource (XII, 144 p. 2 illus. in color.)
- Edition:
- 1st ed. 2025.
- Place of Publication:
- Cham : Springer Nature Switzerland : Imprint: Birkhäuser, 2025.
- 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.
- Contents:
- - 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.
- Notes:
- Description based on publisher supplied metadata and other sources.
- ISBN:
- 3-031-83372-4
- OCLC:
- 1524422231
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