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2nd Croatian Mathematical Congress
June 15-17, 2000
Croatian Mathematical Society and Dept. of Math., Univ. of Zagreb
Zagreb, Croatia |
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Organizers
Hrvoje Sikic (president), Pavle Pandzic (secretary)
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Some mappings associated with Hadamard's inequalities for convex functions
by
Ilko Brnetic
Univ. of Zagreb, Faculty of Electrical Engineering and Computing
Coauthors: Charles Pearce (The University of Adelaide), Josip Pecaric (Univ. of Zagreb, Faculty of Textile Technology)
The following inequality
|
f((a+b)/2) <= ( |
ó
õ
|
b
a
|
f(s)ds)/(b-a) <= (f(a)+f(b))/2 |
|
for convex function f defined on the real interval is known as Hermite-Hadamard
inequality.Some mappings closely connected with this inequality are introduced
and their main properties are given. By using some of these properties
new refinements of Hermite-Hadamard inequality are obtained.
Date received: March 15, 2000
Copyright © 2000 by the author(s).
The author(s) of this document and the organizers of the conference
have granted their consent to include this abstract in
Atlas Conferences Inc.
Document # caex-10.