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Hermite-Hadamard inequality in the geometry of Banach spaces by Kikianty E. is a nonfiction available to read on EtoBox.

What is Hermite-Hadamard inequality in the geometry of Banach spaces about?

Background......Page 21 Historical consideration......Page 23 Characterization of convexity......Page 24 Connection to special means......Page 26 Some generalizations of the Hermite-Hadamard inequality......Page 30 Motivation......Page 34 Outline of the thesis......Page 36 Banach spaces......Page 41 Dual space and reflexivity......Page 45 Geometrical properties of Banach spaces......Page 46 Banach sequence spaces......Page 49 Bochner function spaces......Page 52 Hermite-Hadamard inequality in normed spaces......Page 55 The p-HH-norm......Page 56 Completeness and reflexivity......Page 63 Convexity and smoothness......Page 65 Ostrowski type inequality involving the p-HH-norms......Page 71 Ostrowski inequality......Page 72 Ostrowski inequality for absolutely continuous functions on linear spaces......Page 75 Application for semi-inner products......Page 80 Inequalities involving the p-HH-norm and the p-norm......Page 85 Ostrowski inequality for convex functions on linear spaces......Page 89 Application for semi-inner products......Page 90 Inequalities involving the p-HH-norm and the p-norm......Page 92 Comparison analysis......Page 97 Grüss type inequality involving the p-HH-norms....

Who reads Hermite-Hadamard inequality in the geometry of Banach spaces?

Author

Kikianty E.

Publisher

Victoria Univ

Published

2010

Language

EN

Category

nonfiction