哀悼
发表于 2025-3-26 22:35:57
,Hölder’s and Minkowski’s Inequalities,One of the most important inequalities of analysis is Hölder’s inequality.
逃避系列单词
发表于 2025-3-27 02:01:55
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GLARE
发表于 2025-3-27 05:46:33
Connections between General Inequalities,It is well-known that there exist many connections between general inequalities. Some of these connections were noted in previous chapters. So in Remark 1 of 4. of Chapter V we gave the equivalence.where . is Hölder’s inequality, and . is Cauchy’s inequality.
Dri727
发表于 2025-3-27 12:27:17
Some Determinantal and Matrix Inequalities,In this Chapter we shall give some determinantal and matrix inequalities connected to the inequalities given in previous chapters.
恸哭
发表于 2025-3-27 16:36:23
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agnostic
发表于 2025-3-27 19:53:12
,Abel’s and Related Inequalities,General linear inequalities are old inequalities. We are not sure who is the author of such inequalities. So we shall given here only some basic facts about such inequalities but only for monotonic functions and some related results.
amphibian
发表于 2025-3-28 01:51:40
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occult
发表于 2025-3-28 03:30:51
Cyclic Inequalities,The type of inequality studied in this Chapter are inequalities for forms which are symmetric in several variables. The simplest is Schur’s inequality. We end with some related inequalities.
宽敞
发表于 2025-3-28 07:02:34
Triangle Inequalities,The triangle inequality for real and complex numbers are basic and appear in any analysis book.
Kaleidoscope
发表于 2025-3-28 11:23:20
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