Overview

This volume presents a comprehensive compendium of classical and new inequalities as well as some recent extensions to well-known ones. Variations of inequalities ascribed to Abel, Jensen, Cauchy, Chebyshev, Holder, Minkowski, Steffensen, Gram, Fejer, Jackson, Hardy, Littlewood, Po'lya, Schwarz, Hadamard and a host of others can be found in this volume. The more than 1200 cited references include many from the last ten years which appear in a book for the first time. The 30 chapters are all devoted to inequalities associated with a given classical inequality, or give methods for the derivation of new inequalities. Anyone interested in equalities, from student to professional, should find their favourite inequality and more.

Full Product Details

Author:   Dragoslav S. Mitrinovic ,  J. Pecaric ,  A.M. Fink
Publisher:   Springer
Imprint:   Springer
Edition:   1993 ed.
Volume:   61
Dimensions:   Width: 15.60cm , Height: 4.10cm , Length: 23.40cm
Weight:   2.730kg
ISBN:  

9780792320647

ISBN 10:   0792320646
Pages:   740
Publication Date:   31 December 1992
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

I. Convex functions and Jensen’s inequality.- II. Some recent results involving means.- III. Bernoulli’s inequality.- IV. Cauchy’s and related inequalities.- V. Hölder’s and Minkowski’s inequalities.- VI. Generalized Hölder and Minkowski inequalities.- VII. Connections between general inequalities.- VIII. Some Determinantal and Matrix inequalities.- IX. ?ebyšev’s inequality.- X. Grüss’ inequality.- XI. Steffensen’s inequality.- XII. Abel’s and related inequalities.- XIII. Some inequalities for monotone functions.- XIV. Young’s inequality.- XV. Bessel’s inequality.- XVI. Cyclic inequalities.- XVII. Triangle inequalities.- XVIII. Norm inequalities.- XIX. More on norm inequalities.- XX. Gram’s inequality.- XXI. Fejér-Jackson’s inequalities and related results.- XXII. Mathieu’s inequality.- XXIII. Shannon’s inequality.- XXIV. Turán’s inequality from the power sum theory.- XXV. Continued fractions and Padé approximation method.- XXVI. Quasilinearizai ion methods for proving inequalities.- XXVII. The centroid method in inequalities.- XXVIII. Dynamic programming and functional equation approaches to inequalities.- XXIX. Interpolation inequalities.- XXX. Convex Mini max inequalities-equalities.- Name Index.

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

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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