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Dergiler / Mathematical Sciences and Applications E-Notes / 2022 / Cilt: 10 - Sayı: 2

$\left(m_{1},m_{2}\right) $-Geometric Arithmetically Convex Functions and Related Inequalities

Mahir KADAKAL
Sayfa
63–71
Yayın Tarihi
2022-06-01
DOI
—
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In addition, we obtain Hermite-Hadamard type inequalities for the newly introduced this type of functions whose derivatives in absolute value are the class of $\left( m_{1},m_{2}\right) $ -GA-convex functions by using both well-known power mean and Hölder's integral inequalities.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this manuscript, we introduce and study the concept of $\left( m_{1},m_{2}\right) $-geometric arithmetically (GA) convex functions and their some algebric properties.
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Temel Bulgular & Veri:In this manuscript, we introduce and study the concept of $\left( m_{1},m_{2}\right) $-geometric arithmetically (GA) convex functions and their some algebric properties.
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Sonuç & Katkı:In addition, we obtain Hermite-Hadamard type inequalities for the newly introduced this type of functions whose derivatives in absolute value are the class of $\left( m_{1},m_{2}\right) $ -GA-convex functions by using both well-known power mean and Hölder's integral inequalities.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Convex function · m-convex function · (m1

Abstract

In this manuscript, we introduce and study the concept of $\left( m_{1},m_{2}\right) $-geometric arithmetically (GA) convex functions and their some algebric properties. In addition, we obtain Hermite-Hadamard type inequalities for the newly introduced this type of functions whose derivatives in absolute value are the class of $\left( m_{1},m_{2}\right) $ -GA-convex functions by using both well-known power mean and Hölder's integral inequalities.

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Bu Makaleye Atıf Yap

KADAKAL, M. (2022). $\left(m_{1},m_{2}\right) $-Geometric Arithmetically Convex Functions and Related Inequalities. Mathematical Sciences and Applications E-Notes, Cilt: 10 - Sayı: 2, 63–71. https://ajindex.com/articles/690658

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Kaynakça (16)

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