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, Stefferson, 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, will find their favorite inequality and much more.

Full Product Details

Author:   Dragoslav S. Mitrinovic ,  J. Pecaric ,  A.M Fink
Publisher:   Springer
Imprint:   Springer
Edition:   Softcover reprint of hardcover 1st ed. 1993
Volume:   61
Dimensions:   Width: 15.50cm , Height: 3.80cm , Length: 23.50cm
Weight:   1.151kg
ISBN:  

9789048142255

ISBN 10:   9048142253
Pages:   740
Publication Date:   06 December 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock  
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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

' 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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