Dergiler / Communication in Mathematical Modeling and Applications / 2026 / Cilt: 2 Sayı: 1

On new Hermite-Hadamard-Fejer type inequalities for p-convex functions via fractional integrals

Sayfa
1–15
Yayın Tarihi
2017-03-01
DOI
—
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Many results presented here for p-convex functions provide extensions of others given in earlier works for convex, harmonically convex and p-convex functions.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, firstly, new Hermite-Hadamard-Fejer type inequalities for p-convex functions in fractional integral forms are built.
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Temel Bulgular & Veri:Secondly, an integral identity and some Hermite-Hadamard-Fejer type integral inequalities for p-convex functions in fractional integral forms are obtained.
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Sonuç & Katkı:Many results presented here for p-convex functions provide extensions of others given in earlier works for convex, harmonically convex and p-convex functions.
🔬Tür:Makale
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Hermite-Hadamard inequalities · Hermite-Hadamard-Fejer inequalities · fractional integral

Abstract

In this paper, firstly, new Hermite-Hadamard-Fejer type inequalities for p-convex functions in fractional integral forms are built. Secondly, an integral identity and some Hermite-Hadamard-Fejer type integral inequalities for p-convex functions in fractional integral forms are obtained. Finally, some Hermite-Hadamard and Hermite-Hadamard-Fejer inequalities for convex, harmonically convex and p-convex functions are given. Many results presented here for p-convex functions provide extensions of others given in earlier works for convex, harmonically convex and p-convex functions.

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Bu Makaleye Atıf Yap

Kunt, M., Iscan, İ. (2017). On new Hermite-Hadamard-Fejer type inequalities for p-convex functions via fractional integrals. Communication in Mathematical Modeling and Applications, Cilt: 2 Sayı: 1, 1–15. https://ajindex.com/articles/1648684

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