The Integral Inequalities Related to HT-convex Functions

Authors

DOI:

https://doi.org/10.63286/jima.028

Keywords:

Integral inequality, Hermite--Hadamard inequality, HT-convex function, MT-convex function

Abstract

In the work, using Hölder's integral inequality and arithmetic-geometric-harmonic inequality, the author establishes some new Hermite-Hadamard type integral inequalities related to differentiable HT-convex functions and some new integral inequalities related to the product of MT-convex and HT-convex functions.

 

References

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DOI: 10.1155/2021/5586377

[7] H. X. Qi, W. Nazeer, F. Abbas, and W. B. Liao, Some inequalities of Hermite--Hadamard type for MT-h-convex functions via classical and generalized fractional integrals, Journal of Function Spaces, 2022, Art. 1257104, pp. 1–9.
DOI: 10.1155/2022/1257104

[8] B. Y. Xi and F. Qi, Some inequalities of Hermite--Hadamard type for geometrically P-convex functions, Advanced Studies in Contemporary Mathematics (Kyungshang), 26(1), 2016, 211–220.

[9] C. Y. He, B. Y. Xi, and B. N. Guo, Inequalities of Hermite--Hadamard type for extended harmonically $(s,m)$-convex functions, Miskolc Mathematical Notes, 22(1), 2021, 245–258.
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Published

01.04.2026

How to Cite

Wang, S.-H. (2026). The Integral Inequalities Related to HT-convex Functions. Journal of Inequalities and Mathematical Analysis, 2(1), 7–16. https://doi.org/10.63286/jima.028

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