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 ,IR
  • Mehdi Dehghanian
     Department of Mathematics, Sirjan University Of Technology, Sirjan ,IR
  • Hasan Barsam
     Department of Mathematics, University of Jiroft, Jiroft ,IR

DOI:

https://doi.org/10.18311/jims/2023/28699

Keywords:

Shannon’s Entropy, Jensen’s Inequality, Dragomir’s Inequality, Convex Function.
26B25, 26D15, 94A17

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.

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Published

2023-03-24

How to Cite

Sayyari, Y., Dehghanian, M., & Barsam, H. (2023). New Bounds for the Jensen-Dragomir Functional with Applications in Analysis. The Journal of the Indian Mathematical Society, 90(1-2), 175–185. https://doi.org/10.18311/jims/2023/28699

Issue

Volume 90, Issue 1-2, January-June 2023

Section

Articles

License

Copyright (c) 2023 Yamin Sayyari, Mehdi Dehghanian, Hasan Barsam

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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Europe PMC
Received 2021-09-26
Accepted 2022-07-09
Published 2023-03-24

 

References

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