1Department of Mathematics, Payame Noor University (PNU), Tehran, Iran 2Department of Nuclear Engineering, Abadeh Branch, Islamic Azad University, Abadeh, Iran 3Department of Mathematics, Shiraz Branch, Islamic Azad University, Shiraz, Iran
Acta mathematica Universitatis Comenianae, Tome 92 (2023) no. 2, pp. 113-123
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Hadi Khodabakhshian; N. Goudarzi; Rahim Safshekan; Hadi Khodabakhshian; N. Goudarzi; Rahim Safshekan. Jensen-type inequalities for log-convex functions. Acta mathematica Universitatis Comenianae, Tome 92 (2023) no. 2, pp. 113-123. http://geodesic.mathdoc.fr/item/AMUC_2023_92_2_a1/
@article{AMUC_2023_92_2_a1,
author = {Hadi Khodabakhshian and N. Goudarzi and Rahim Safshekan and Hadi Khodabakhshian and N. Goudarzi and Rahim Safshekan},
title = { Jensen-type inequalities for log-convex functions},
journal = {Acta mathematica Universitatis Comenianae},
pages = {113--123},
year = {2023},
volume = {92},
number = {2},
url = {http://geodesic.mathdoc.fr/item/AMUC_2023_92_2_a1/}
}
TY - JOUR
AU - Hadi Khodabakhshian
AU - N. Goudarzi
AU - Rahim Safshekan
AU - Hadi Khodabakhshian
AU - N. Goudarzi
AU - Rahim Safshekan
TI - Jensen-type inequalities for log-convex functions
JO - Acta mathematica Universitatis Comenianae
PY - 2023
SP - 113
EP - 123
VL - 92
IS - 2
UR - http://geodesic.mathdoc.fr/item/AMUC_2023_92_2_a1/
ID - AMUC_2023_92_2_a1
ER -
%0 Journal Article
%A Hadi Khodabakhshian
%A N. Goudarzi
%A Rahim Safshekan
%A Hadi Khodabakhshian
%A N. Goudarzi
%A Rahim Safshekan
%T Jensen-type inequalities for log-convex functions
%J Acta mathematica Universitatis Comenianae
%D 2023
%P 113-123
%V 92
%N 2
%U http://geodesic.mathdoc.fr/item/AMUC_2023_92_2_a1/
%F AMUC_2023_92_2_a1
The main result of this paper is to give refinement and reverse the celebrated Jensen inequality. We directly apply our results to establish several weighted arithmetic-geometric mean inequality. We also present a stronger estimate for the first inequality in the Hermite-Hadamard inequality.
