Norm Inequalities for Derivatives and Differences
Norm inequalities relating (i) a function and two of its derivatives and (ii) a sequence and two of its differences are studied. Detailed elementary proofs of basic inequalities are given. These are accessible to anyone with a background of advanced calculus and a rudimentary knowledge of the Lp and...
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| Médium: | Livre numérique |
| Jazyk: | Anglais |
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| Edice: | Lecture notes in mathematics
1536 |
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| Edition sous un autre format: | • Norm inequalities for derivatives and differences, Man Kam Kwong, Anton Zettl, 1992, Berlin, Springer-Verlag, 1 volume (VI-150 pages), Lecture notes in mathematics, 0-387-56387-3 • Norm Inequalities for Derivatives and Differences, Texte imprimé, 9783662171004 |
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| 100 | 1 | |a Kwong, Man Kam, |d 1947- | |
| 245 | 1 | 0 | |a Norm Inequalities for Derivatives and Differences |c Man Kam Kwong, Anton Zettl. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1536 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Unit weight functions -- The norms of y,y?,y? -- Weights -- The difference operator. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a Norm inequalities relating (i) a function and two of its derivatives and (ii) a sequence and two of its differences are studied. Detailed elementary proofs of basic inequalities are given. These are accessible to anyone with a background of advanced calculus and a rudimentary knowledge of the Lp and lp spaces. The classical inequalities associated with the names of Landau, Hadamard, Hardy and Littlewood, Kolmogorov, Schoenberg and Caravetta, etc., are discussed, as well as their discrete analogues and weighted versions. Best constants and the existence and nature of extremals are studied and many open questions raised. An extensive list of references is provided, including some of the vast Soviet literature on this subject. | ||
| 650 | |a Équations différentielles | ||
| 650 | |a Variables (mathématiques) | ||
| 650 | |a Fonctions d'une variable réelle | ||
| 700 | 1 | |a Zettl, Anton, |d 1935- |4 aut | |
| 776 | 0 | |0 015943747 |t Norm inequalities for derivatives and differences |f Man Kam Kwong, Anton Zettl |d 1992 |c Berlin |n Springer-Verlag |p 1 volume (VI-150 pages) |s Lecture notes in mathematics |z 0-387-56387-3 | |
| 776 | 0 | |t Norm Inequalities for Derivatives and Differences |b Texte imprimé |z 9783662171004 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/BFb0090864 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-F7P946PZ-R |z Accès sur la plateforme Istex | |
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| 997 | |0 970984 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||