Inequalities - 1st Edition - ISBN: 9780124737501, 9780080959979

Inequalities, Volume 143

1st Edition

Theory of Majorization and Its Applications

Authors: Ingram Olkin Albert Marshall
eBook ISBN: 9780080959979
Imprint: Academic Press
Published Date: 28th December 1979
Page Count: 569
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Table of Contents

Theory of Majorization. Mathematical Applications. Stochastic Applications. Generalizations. Complementary Topics.


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.


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© Academic Press 1979
Academic Press
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About the Authors

Ingram Olkin Author

Affiliations and Expertise

Stanford University, California

Albert Marshall Author

Affiliations and Expertise

University of British Columbia, Vancouver, Canada