Several refinements and counterparts of Radon's inequality
Augusta Raţiu; Nicuşor Minculete
Mathematica Bohemica (2015)
- Volume: 140, Issue: 1, page 71-80
- ISSN: 0862-7959
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topRaţiu, Augusta, and Minculete, Nicuşor. "Several refinements and counterparts of Radon's inequality." Mathematica Bohemica 140.1 (2015): 71-80. <http://eudml.org/doc/269892>.
@article{Raţiu2015,
abstract = {We establish that the inequality of Radon is a particular case of Jensen's inequality. Starting from several refinements and counterparts of Jensen's inequality by Dragomir and Ionescu, we obtain a counterpart of Radon's inequality. In this way, using a result of Simić we find another counterpart of Radon's inequality. We obtain several applications using Mortici's inequality to improve Hölder's inequality and Liapunov's inequality. To determine the best bounds for some inequalities, we used Matlab program for different cases.},
author = {Raţiu, Augusta, Minculete, Nicuşor},
journal = {Mathematica Bohemica},
keywords = {Radon's inequality; Jensen's inequality; Hölder's inequality; Liapunov's inequality},
language = {eng},
number = {1},
pages = {71-80},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Several refinements and counterparts of Radon's inequality},
url = {http://eudml.org/doc/269892},
volume = {140},
year = {2015},
}
TY - JOUR
AU - Raţiu, Augusta
AU - Minculete, Nicuşor
TI - Several refinements and counterparts of Radon's inequality
JO - Mathematica Bohemica
PY - 2015
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 140
IS - 1
SP - 71
EP - 80
AB - We establish that the inequality of Radon is a particular case of Jensen's inequality. Starting from several refinements and counterparts of Jensen's inequality by Dragomir and Ionescu, we obtain a counterpart of Radon's inequality. In this way, using a result of Simić we find another counterpart of Radon's inequality. We obtain several applications using Mortici's inequality to improve Hölder's inequality and Liapunov's inequality. To determine the best bounds for some inequalities, we used Matlab program for different cases.
LA - eng
KW - Radon's inequality; Jensen's inequality; Hölder's inequality; Liapunov's inequality
UR - http://eudml.org/doc/269892
ER -
References
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