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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2021 / Cilt: 50 - Sayı: 5

The Hermite-Hadamard inequalities for $p$-convex functions

Zeynep Eken
Gabil Adilov
Serap Kemali
Gültekin Tınaztepe
Sayfa
1268–1279
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Some inequalities for these functions are expressed.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, the Hermite-Hadamard inequality for $p-$convex function is provided.
📊
Temel Bulgular & Veri:Some integral inequalities for them are also presented.
💡
Sonuç & Katkı:Some inequalities for these functions are expressed.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Hermite-Hadamard Inequality · Convex set · Convex functions

Abstract

In this paper, the Hermite-Hadamard inequality for $p-$convex function is provided. Some integral inequalities for them are also presented. Also, based on the integral and double integral of $p-$convex sets, the new functions are defined and under certain conditions, $p-$convexity of these functions are shown. Some inequalities for these functions are expressed.

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Bu Makaleye Atıf Yap

Eken, Z., Adilov, G., Kemali, S., Tınaztepe, G. (2022). The Hermite-Hadamard inequalities for $p$-convex functions. Hacettepe Journal of Mathematics and Statistics, Cilt: 50 - Sayı: 5, 1268–1279. https://ajindex.com/articles/529453

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Kaynakça (17)

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