Refinement of the Jensen integral inequality

Silvestru Sever Dragomir; Muhammad Adil Khan; Addisalem Abathun

Open Mathematics (2016)

  • Volume: 14, Issue: 1, page 221-228
  • ISSN: 2391-5455

Abstract

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In this paper we give a refinement of Jensen’s integral inequality and its generalization for linear functionals. We also present some applications in Information Theory.

How to cite

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Silvestru Sever Dragomir, Muhammad Adil Khan, and Addisalem Abathun. "Refinement of the Jensen integral inequality." Open Mathematics 14.1 (2016): 221-228. <http://eudml.org/doc/277114>.

@article{SilvestruSeverDragomir2016,
abstract = {In this paper we give a refinement of Jensen’s integral inequality and its generalization for linear functionals. We also present some applications in Information Theory.},
author = {Silvestru Sever Dragomir, Muhammad Adil Khan, Addisalem Abathun},
journal = {Open Mathematics},
keywords = {Convex functions; Jensen’s inequality; f-divergences; convex functions; Jensen inequality; -divergences},
language = {eng},
number = {1},
pages = {221-228},
title = {Refinement of the Jensen integral inequality},
url = {http://eudml.org/doc/277114},
volume = {14},
year = {2016},
}

TY - JOUR
AU - Silvestru Sever Dragomir
AU - Muhammad Adil Khan
AU - Addisalem Abathun
TI - Refinement of the Jensen integral inequality
JO - Open Mathematics
PY - 2016
VL - 14
IS - 1
SP - 221
EP - 228
AB - In this paper we give a refinement of Jensen’s integral inequality and its generalization for linear functionals. We also present some applications in Information Theory.
LA - eng
KW - Convex functions; Jensen’s inequality; f-divergences; convex functions; Jensen inequality; -divergences
UR - http://eudml.org/doc/277114
ER -

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