Norm inequalities for derivatives and differences / / Man K. Kwong and Anton Zettl
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| Autore: |
Kwong Man Kam <1947->
|
| Titolo: |
Norm inequalities for derivatives and differences / / Man K. Kwong and Anton Zettl
|
| Pubblicazione: | Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1993] |
| ©1993 | |
| Edizione: | 1st ed. 1992. |
| Descrizione fisica: | 1 online resource (VIII, 152 p.) |
| Disciplina: | 515.8 |
| Soggetto topico: | Functions of real variables |
| Difference equations - Numerical solutions | |
| Persona (resp. second.): | ZettlAnton |
| Nota di contenuto: | Unit weight functions -- The norms of y,y?,y? -- Weights -- The difference operator. |
| Sommario/riassunto: | 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. |
| Titolo autorizzato: | Norm inequalities for derivatives and differences |
| ISBN: | 3-540-47548-6 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 996466583503316 |
| Lo trovi qui: | Univ. di Salerno |
| Opac: | Controlla la disponibilità qui |
Serie:
Lecture Notes in Mathematics, . 0075-8434 ; ; 1536