Inequalities : theory of majorization and its applications
Author(s)
Bibliographic Information
Inequalities : theory of majorization and its applications
（Mathematics in science and engineering : a series of monographs and textbooks, v. 143）
Academic Press, 1979
- Other Title
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Majorization and its applications
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
MAR||57||1||複本2578808
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Note
Bibliography: p. 531-552
Includes indexes
Description and Table of Contents
Description
Although they play a fundamental role in nearly all branches of mathematics, inequalities are usually obtained by ad hoc methods rather than as consequences of some underlying "theory of inequalities." For certain kinds of inequalities, the notion of majorization leads to such a theory that is sometimes extremely useful and powerful for deriving inequalities. Moreover, the derivation of an inequality by methods of majorization is often very helpful both for providing a deeper understanding and for suggesting natural generalizations.Anyone wishing to employ majorization as a tool in applications can make use of the theorems; for the most part, their statements are easily understood.
Table of Contents
Theory of Majorization. Mathematical Applications. Stochastic Applications. Generalizations. Complementary Topics.
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