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Reverses of the Jensen inequality in terms of first derivative and applications

Authors :
Sever S Dragomir
Source :
Acta Mathematica Vietnamica. 38:429-446
Publication Year :
2013
Publisher :
Springer Science and Business Media LLC, 2013.

Abstract

Two new reverses of the celebrated Jensen integral inequality for convex functions with applications for means, the Holder inequality and f-divergence measures in information theory are given.

Subjects

Subjects :
Kantorovich inequality
Hölder's inequality
General Mathematics
Mathematical analysis
Ky Fan inequality
Log sum inequality
Rearrangement inequality
Inequality of arithmetic and geometric means
Mathematical economics
Jensen's inequality
Karamata's inequality
Mathematics

Details

ISSN :
23154144 and 02514184
Volume :
38
Database :
OpenAIRE
Journal :
Acta Mathematica Vietnamica
Accession number :
edsair.doi...........3c3b01013253e64b580a40bdbc4696e4
Full Text :
https://doi.org/10.1007/s40306-013-0029-9
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