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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 51 Issue: 3

Hermite-Hadamard-type inequalities for conformable integrals

Martin Bohner(Missouri S&T)0000-0001-8310-0266
Artion Kashuri(University Ismail Qemali)0000-0003-0115-3079
Pshtiwan Mohammed(University of Sulaimani)0000-0001-6837-8075
Juan Eduardo Napoles Valdes(Universidad Nacional del Nordeste)0000-0003-2470-1090
Pages
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Publication Date
2022-06-01
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

We also illustrate our findings via applications to modified Bessel functions, special means, and midpoint approximations.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, some inequalities of Hermite-Hadamard type for integrals arising in conformable fractional calculus are presented.
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Key Findings & Data:In fact, the obtained inequalities are not only valid for those integrals arising in conformable fractional calculus, but for more general integrals as well.
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Conclusion & Impact:We also illustrate our findings via applications to modified Bessel functions, special means, and midpoint approximations.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Hermite–Hadamard inequality · convex function · conformable integral

Abstract

In this study, some inequalities of Hermite-Hadamard type for integrals arising in conformable fractional calculus are presented. In fact, the obtained inequalities are not only valid for those integrals arising in conformable fractional calculus, but for more general integrals as well. Numerous known versions are recovered as special cases. We also illustrate our findings via applications to modified Bessel functions, special means, and midpoint approximations.

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Cite This Article

Bohner, M., Kashuri, A., Mohammed, P., Valdes, J. E. N. (2022). Hermite-Hadamard-type inequalities for conformable integrals. Hacettepe Journal of Mathematics and Statistics, Volume: 51 Issue: 3. https://doi.org/10.15672/hujms.946069

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