REFINING RECURSIVELY THE HERMITE–HADAMARD INEQUALITY ON A SIMPLEX-Reference-Cited by-同舟云学术

REFINING RECURSIVELY THE HERMITE–HADAMARD INEQUALITY ON A SIMPLEX

Published:2015-04-17 Issue:1 Volume:92 Page:57-67
ISSN:0004-9727
Container-title:Bulletin of the Australian Mathematical Society
language:en
Short-container-title:Bull. Aust. Math. Soc.

Author:

RAÏSSOULI MUSTAPHA,DRAGOMIR SEVER S.

Abstract

In the present paper, a coupled algorithm refining recursively the Hermite–Hadamard inequality on a simplex is investigated. Our approach allows us to express the integral mean value

$M_{f}$

of a convex function

$f$

on a simplex as both the limit of sequences and sum of series involving iterative lower and upper bounds of

$M_{f}$

. Two examples of interest are discussed.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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