The Journal of the Indian Mathematical Society

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New Bounds for the Jensen-Dragomir Functional with Applications in Analysis


Affiliations
1 Department of Mathematics, Sirjan University Of Technology, Sirjan, Iran, Islamic Republic of
2 Department of Mathematics, University of Jiroft, Jiroft, Iran, Islamic Republic of
     

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The normalised Jensen functional is an important functional in theory of inequalities and it has been a subject of study in its own right. In this paper, we establish new bounds for Jensen’s discrete inequality. Also, we improve the basic result of Dragomir through a stronger refinement of Jensens inequality which is then applied to analysis and information theory.


Keywords

Shannon’s Entropy, Jensen’s Inequality, Dragomir’s Inequality, Convex Function.
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  • New Bounds for the Jensen-Dragomir Functional with Applications in Analysis

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Authors

Yamin Sayyari
Department of Mathematics, Sirjan University Of Technology, Sirjan, Iran, Islamic Republic of
Mehdi Dehghanian
Department of Mathematics, Sirjan University Of Technology, Sirjan, Iran, Islamic Republic of
Hasan Barsam
Department of Mathematics, University of Jiroft, Jiroft, Iran, Islamic Republic of

Abstract


The normalised Jensen functional is an important functional in theory of inequalities and it has been a subject of study in its own right. In this paper, we establish new bounds for Jensen’s discrete inequality. Also, we improve the basic result of Dragomir through a stronger refinement of Jensens inequality which is then applied to analysis and information theory.


Keywords


Shannon’s Entropy, Jensen’s Inequality, Dragomir’s Inequality, Convex Function.

References