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Journals / Constructive Mathematical Analysis / 2026 / Volume: 8 Issue: 3

Some integral inequalities of Hermite--Hadamard type for $(\beta,F)$-log-convex functions

Yan Wang(Inner Mongolia Minzu University)0000-0002-0368-7106
Ximin Liu(Dalian University of Technology)0000-0002-4827-7936
Bo-yan Xi(Inner Mongolia Minzu University)0000-0003-4528-2331
Feng Qi(Hulunbuir University)0000-0001-6239-2968
Pages
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Publication Date
2025-09-15
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⚡ TL;DR(Too Long; Didn't Read)

In the paper, the authors introduce the notion of $(\beta,F)$-log-convex functions, give an example of the $(\beta,F)$-log-convex functions, and, by virtue of two known integral identities, establish several integral inequalities of the Hermite--Hadamard type for $(\beta,F)$-log-convex functions.

📌 3 Key Takeaways

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Objective & Hypothesis:In the paper, the authors introduce the notion of $(\beta,F)$-log-convex functions, give an example of the $(\beta,F)$-log-convex functions, and, by virtue of two known integral identities, establish several integral inequalities of the Hermite--Hadamard type for $(\beta,F)$-log-convex functions.
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Key Findings & Data:In the paper, the authors introduce the notion of $(\beta,F)$-log-convex functions, give an example of the $(\beta,F)$-log-convex functions, and, by virtue of two known integral identities, establish several integral inequalities of the Hermite--Hadamard type for $(\beta,F)$-log-convex functions.
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Conclusion & Impact:In the paper, the authors introduce the notion of $(\beta,F)$-log-convex functions, give an example of the $(\beta,F)$-log-convex functions, and, by virtue of two known integral identities, establish several integral inequalities of the Hermite--Hadamard type for $(\beta,F)$-log-convex functions.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:integral inequality of the Hermite--Hadamard type · $(\beta · F)$-log-convex function

Abstract

In the paper, the authors introduce the notion of $(\beta,F)$-log-convex functions, give an example of the $(\beta,F)$-log-convex functions, and, by virtue of two known integral identities, establish several integral inequalities of the Hermite--Hadamard type for $(\beta,F)$-log-convex functions.

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Cite This Article

Wang, Y., Liu, X., Xi, B., Qi, F. (2025). Some integral inequalities of Hermite--Hadamard type for $(\beta,F)$-log-convex functions. Constructive Mathematical Analysis, Volume: 8 Issue: 3. https://doi.org/10.33205/cma.1733628

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