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Sayyari, Yamin
- New Bounds for the Jensen-Dragomir Functional with Applications in Analysis
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Authors
Affiliations
1 Department of Mathematics, Sirjan University Of Technology, Sirjan, IR
2 Department of Mathematics, University of Jiroft, Jiroft, IR
1 Department of Mathematics, Sirjan University Of Technology, Sirjan, IR
2 Department of Mathematics, University of Jiroft, Jiroft, IR
Source
The Journal of the Indian Mathematical Society, Vol 90, No 1-2 (2023), Pagination: 175-185Abstract
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
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