Titlebook: Classical and New Inequalities in Analysis; D. S. Mitrinović,J. E. Pečarić,A. M. Fink Book 1993 Springer Science+Business Media Dordrecht

哀悼

,Hölder’s and Minkowski’s Inequalities,One of the most important inequalities of analysis is Hölder’s inequality.

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GLARE

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.

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Some Determinantal and Matrix Inequalities,In this Chapter we shall give some determinantal and matrix inequalities connected to the inequalities given in previous chapters.

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agnostic

,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

occult

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

Triangle Inequalities,The triangle inequality for real and complex numbers are basic and appear in any analysis book.

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