Strongly convex functions and extensions of related inequalities with applications to entropy

Yamin Sayyari; Mana Donganont; Mehdi Dehghanian; Morteza Afshar Jahanshahi; Yamin Sayyari; Mana Donganont; Mehdi Dehghanian; Morteza Afshar Jahanshahi

doi:10.3934/math.2024538

AIMS Mathematics

2024, Volume 9, Issue 5: 10997-11006. doi: 10.3934/math.2024538

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Research article Special Issues

Strongly convex functions and extensions of related inequalities with applications to entropy

1.
Department of Mathematics, Sirjan University of Technology, Sirjan, Iran
2.
School of Science, University of Phayao, Phayao 56000, Thailand

Received: 09 January 2024 Revised: 11 March 2024 Accepted: 13 March 2024 Published: 20 March 2024
MSC : 26B25, 26D20

We extended the Mercer inequlaity, Fejér-Hermite-Hadamard, and Jensen inequalities for strongly convex functions. Moreover, we obtained several results in information theory and mathematical analysis using obtained inequalities.
- Jensens inequality,
- entropy,
- strongly convex,
- Mercer inequality
Citation: Yamin Sayyari, Mana Donganont, Mehdi Dehghanian, Morteza Afshar Jahanshahi. Strongly convex functions and extensions of related inequalities with applications to entropy[J]. AIMS Mathematics, 2024, 9(5): 10997-11006. doi: 10.3934/math.2024538

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Abstract

We extended the Mercer inequlaity, Fejér-Hermite-Hadamard, and Jensen inequalities for strongly convex functions. Moreover, we obtained several results in information theory and mathematical analysis using obtained inequalities.

References

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