| 书目名称 | Norm Inequalities for Derivatives and Differences |
| 编辑 | Man Kam Kwong,Anton Zettl |
| 视频video | |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | Norm inequalities relating (i) a function and two of itsderivatives and(ii) a sequence and two of its differencesare studied. Detailed elementary proofs of basicinequalities are given. These are accessible to anyonewitha background of advanced calculus and a rudimentaryknowledge of the Lp and lp spaces.The classical inequalities associated with the namesofLandau, Hadamard, Hardy and Littlewood, Kolmogorov,Schoenberg and Caravetta, etc., are discussed, as well astheir discrete analogues and weighted versions. Bestconstants and the existence and nature of extremals arestudied and many open questions raised. An extensive list ofreferences is provided, including some of the vast Sovietliterature on this subject. |
| 出版日期 | Book 1992 |
| 关键词 | Calc; Differential Operators; Hadamard; Landau Inequality; Microsoft Access; Norm Inequalities; boundary e |
| 版次 | 1 |
| doi | https://doi.org/10.1007/BFb0090864 |
| isbn_softcover | 978-3-540-56387-7 |
| isbn_ebook | 978-3-540-47548-4Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | Springer-Verlag Berlin Heidelberg 1992 |
发表于 2025-3-21 19:19:32
