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

Classical and New Inequalities in Analysis (eBook, PDF)

• Format: PDF

Produktbeschreibung

Zur Zeit liegt uns keine Inhaltsangabe vor.

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Produktdetails

• Verlag: Springer Netherlands
• Seitenzahl: 740
• Erscheinungstermin: 17. April 2013
• Englisch
• ISBN-13: 9789401710435
• Artikelnr.: 44172269

Inhaltsangabe

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. ?ebysev'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.

Rezensionen

` 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