Classical and New Inequalities in Analysis

By: A.M. Fink, J. Pecaric, Dragoslav S. Mitrinovic

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Hardcover | 31 December 1992

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764 Pages

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16.3 x 24.2 x 4.8

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One service mathematic;., has Jcndcml the ''Et moi, .. ~ si j''avait su comment CD revcnir, human race. It has put COIDDlOJI SCIISC back je n''y scrais point allC.'' whc:rc it belongs, on the topmost shell next Jules Verne to the dusty canister labc1lcd ''dilcardcd nOD- The series is divergent; tbcre(on: we may be sense''. Eric T. Bcll able to do something with it o. Hcavisidc Mathematics is a tool for thought. A highly necessary tooll in a world where both feedbaclt and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other paJts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: ''One service topology has rendered mathematical physics .. .''; ''One service logic has rendered com puter science .. .''; ''One service category theory has rendered mathematics .. .''. All arguably true. And all statements obtainable this way form part of the raison d''etre of this series.

Industry Reviews

` This is an excellent book that seems to prove that there is no possibility of a last word on equalities. All in all this is a book that everyone working with inequalities should have. '
Mathematical Reviews, 94c

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You Can Find This Book In

Non-Fiction Mathematics Algebra Calculus & Mathematical Analysis Functional Analysis & Transforms Real Analysis

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Paperback

Published: 6th December 2010

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Preface
Organization of the Book
Notations
Convex functions and Jensen's inequality	p. 1
Some recent results involving means	p. 21
Bernoulli's inequality	p. 65
Cauchy's and related inequalities	p. 83
Holder's and Minkowski's inequalities	p. 99
Generalized Holder and Minkowski inequalities	p. 135
Connections between general inequalities	p. 191
Some Determinantal and Matrix inequalities	p. 211
Cebysev's inequality	p. 239
Gruss' inequality	p. 295
Steffensen's inequality	p. 311
Abel's and related inequalities	p. 333
Some inequalities for monotone functions	p. 365
Young's inequality	p. 379
Bessel's inequality	p. 391
Cyclic inequalities	p. 407
Triangle inequalities	p. 473
Norm inequalities	p. 515
More on norm inequalities	p. 559
Gram's inequality	p. 595
Fejer-Jackson's inequalities and related results	p. 611
Mathieu's inequality	p. 629
Shannon's inequality	p. 635
Turan's inequality from the power sum theory	p. 651
Continued fractions and Pade approximation method	p. 661
Quasilinearization methods for proving inequalities	p. 669
The centroid method in inequalities	p. 681
Dynamic programming and functional equation approaches to inequalities	p. 697
Interpolation inequalities	p. 709
Convex Mini max inequalities-equalities	p. 721
Name Index	p. 725
Table of Contents provided by Blackwell. All Rights Reserved.

Classical and New Inequalities in Analysis

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

Other Editions and Formats

Paperback

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