Classical and New Inequalities in Analysis

1. Auflage. Softcover version of original hardcover Auflage 1993
ISBN: 978-90-481-4225-5
Verlag: Springer

Buch, Englisch, 740 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 1136 g

Reihe: Mathematics and its Applications

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Zielgruppe

Research

Autoren/Hrsg.

Mitrinovic, Dragoslav S.

Pecaric, J.

Fink, A.M

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Harmonische Analysis, Fourier-Mathematik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
• Mathematik | Informatik Mathematik Algebra Lineare und multilineare Algebra, Matrizentheorie
• Mathematik | Informatik Mathematik Mathematische Analysis Reelle Analysis

Inhaltsverzeichnis

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.