Several refinements and counterparts of Radon's inequality

Title:

Several refinements and counterparts of Radon's inequality

Creator:

Raţiu, Augusta and Minculete, Nicuşor

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:2009f698-6841-497a-a951-e3ff04d214da
uuid:2009f698-6841-497a-a951-e3ff04d214da
doi:10.21136/MB.2015.144180

Subject:

Radon's inequality, Jensen's inequality, Hölder's inequality, and Liapunov's inequality

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

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.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

71-80

Source:

Mathematica bohemica | 2015 Volume:140 | Number:1

Harvested from:

CDK

Metadata only:

false