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Iterative refinements of the Hermite-Hadamard inequality, applications to the standard means

Dragomir, Sever S ORCID: 0000-0003-2902-6805 and Raissouli, Mustapha (2010) Iterative refinements of the Hermite-Hadamard inequality, applications to the standard means. Journal of Inequalities and Applications, 2010. pp. 1-13. ISSN 1025-5834

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Abstract

Two adjacent recursive processes converging to the mean value of a real-valued convex function are given. Refinements of the Hermite-Hadamard inequality are obtained. Some applications to the special means are discussed. A brief extension for convex mappings with variables in a linear space is also provided.

Item Type: Article
Additional Information:

Online ISSN: 1029-242X

Uncontrolled Keywords: ResPubID19732. Hermite-Hadamard Inequality, standard means, inequalities, convex function, convex mapping, linear space
Subjects: Historical > Faculty/School/Research Centre/Department > School of Engineering and Science
Current > FOR Classification > 0102 Applied Mathematics
Historical > SEO Classification > 970101 Expanding Knowledge in the Mathematical Sciences
Depositing User: VUIR
Date Deposited: 30 Nov 2011 03:55
Last Modified: 12 Oct 2020 05:21
URI: http://vuir.vu.edu.au/id/eprint/7394
DOI: https://doi.org/10.1155/2010/107950
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Citations in Scopus: 3 - View on Scopus

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