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Classical and New Inequalities in Analysis de Dragoslav S. Mitrinovic

Classical and New Inequalities in Analysis: Mathematics and its Applications, cartea 61

Autor Dragoslav S. Mitrinovic, J. Pecaric, A. M Fink
en Limba Engleză Hardback – 31 dec 1992
Presents a comprehensive compendium of classical and new inequalities as well as some recent extensions to well-known ones. The 30 chapters are all devoted to inequalities associated with a given classical inequality, or give methods for the derivation of new inequalities.
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Specificații

ISBN-13: 9780792320647
ISBN-10: 0792320646
Pagini: 762
Ilustrații: XVIII, 740 p.
Dimensiuni: 160 x 241 x 46 mm
Greutate: 1.29 kg
Ediția:1993
Editura: Springer
Colecția Mathematics and its Applications
Seria Mathematics and its Applications

Locul publicării:Dordrecht, Netherlands

Public țintă

Research

Cuprins

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.

Recenzii

` 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