Continuous Versions of Some Classical Inequalities
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 contin...
में बचाया:
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| निगमित लेखक: | |
| स्वरूप: | इलेक्ट्रोनिक ई-पुस्तक |
| भाषा: | अंग्रेज़ी |
| प्रकाशित: |
Cham :
Springer Nature Switzerland : Imprint: Birkhäuser,
2025.
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| संस्करण: | 1st ed. 2025. |
| श्रृंखला: | Frontiers in Mathematics,
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| विषय: | |
| ऑनलाइन पहुंच: | https://doi.org/10.1007/978-3-031-83372-4 |
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| 100 | 1 | |a Nikolova, Ludmila. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Continuous Versions of Some Classical Inequalities |h [electronic resource] / |c by Ludmila Nikolova, Lars-Erik Persson, Sanja Varošanec. |
| 250 | |a 1st ed. 2025. | ||
| 264 | 1 | |a Cham : |b Springer Nature Switzerland : |b Imprint: Birkhäuser, |c 2025. | |
| 300 | |a XII, 144 p. 2 illus. in color. |b online resource. | ||
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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. | ||
| 532 | 8 | |a Accessibility summary: This PDF does not fully comply with PDF/UA standards, but does feature limited screen reader support, described non-text content (images, graphs), bookmarks for easy navigation and searchable, selectable text. Users of assistive technologies may experience difficulty navigating or interpreting content in this document. We recognize the importance of accessibility, and we welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us at accessibilitysupport@springernature.com. | |
| 532 | 8 | |a No reading system accessibility options actively disabled | |
| 532 | 8 | |a Publisher contact for further accessibility information: accessibilitysupport@springernature.com | |
| 650 | 0 | |a Functions of real variables. | |
| 650 | 0 | |a Difference equations. | |
| 650 | 0 | |a Functional equations. | |
| 650 | 0 | |a Functional analysis. | |
| 650 | 1 | 4 | |a Real Functions. |
| 650 | 2 | 4 | |a Difference and Functional Equations. |
| 650 | 2 | 4 | |a Functional Analysis. |
| 700 | 1 | |a Persson, Lars-Erik. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a Varošanec, Sanja. |e author. |0 (orcid)0000-0002-9358-1830 |1 https://orcid.org/0000-0002-9358-1830 |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
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