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Dergiler / 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
Sayfa
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Yayın Tarihi
2025-09-15
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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 Maddede Bu Makale

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Amaç & Hipotez: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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Temel Bulgular & Veri: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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Sonuç & Katkı: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.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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Kaynakça (12)

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