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Classical and New Inequalities in Analysis : NATO Asi Series. Series C, Mathematical and Physical Science - Dragoslav S. Mitrinovic

Classical and New Inequalities in Analysis

NATO Asi Series. Series C, Mathematical and Physical Science

Hardcover

Published: 31st December 1992
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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 nonĀ­ 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 comĀ­ 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.

` 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

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

ISBN: 9780792320647
ISBN-10: 0792320646
Series: NATO Asi Series. Series C, Mathematical and Physical Science
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 740
Published: 31st December 1992
Publisher: SPRINGER VERLAG GMBH
Country of Publication: NL
Dimensions (cm): 23.39 x 15.6  x 4.14
Weight (kg): 1.24