Bulletin of Australian Mathematical Society, ( ISI ), Volume (85), No (1), Year (2012-1) , Pages (128-142)

Title : ( Jensen type inequalities for Q-class functions )

Authors: Mohammad Sal Moslehian , Mohsen Kian ,

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Abstract

Some inequalities of Jensen type for $Q$-class functions are proved. More precisely a refinement of the inequality f left( frac{1}{P} sum_{i=1}^{n}p_ix_i right) leq P sum_{i=1}^{n} frac{f(x_i)}{p_i} is given in which p_1, ldots, p_n are positive numbers, P= sum_{i=1}^{n}p_i$ and f is a Q -class function. The notion of jointly Q -class function is introduced and some Jensen type inequalities for these functions are proved. Some Ostrowski and Hermite--Hadamard type inequalities related to Q -class functions are presented as well.

Keywords

, $Q$, class function; Jensen s inequality; jointly $Q$, class; Ostrowski type inequality; convex function; Hermite, , Hadamard type inequality.
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@article{paperid:1023445,
author = {Sal Moslehian, Mohammad and Kian, Mohsen},
title = {Jensen type inequalities for Q-class functions},
journal = {Bulletin of Australian Mathematical Society},
year = {2012},
volume = {85},
number = {1},
month = {January},
issn = {0004-9727},
pages = {128--142},
numpages = {14},
keywords = {$Q$-class function; Jensen s inequality; jointly $Q$-class; Ostrowski type inequality; convex function; Hermite--Hadamard type inequality.},
}

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%0 Journal Article
%T Jensen type inequalities for Q-class functions
%A Sal Moslehian, Mohammad
%A Kian, Mohsen
%J Bulletin of Australian Mathematical Society
%@ 0004-9727
%D 2012

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