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Dergiler / Türk Doğa ve Fen Dergisi / 2026 / Sayı: 1 Özel Sayı

Some Novel Integral Inequalities on the Co-ordinates for Geometrically Exponentially Convex Functions

Sinan Aslan(AGRI IBRAHIM CECEN UNIVERSITY)0000-0001-5970-1926
Sayfa
96–102
Yayın Tarihi
2024-10-01
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

In the new theorems obtained, some special results were obtained for α=0.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:The main purpose of this study is to define geometrically exponentially convex functions, which are a more general version, by expanding geometrically convex functions and to create the relevant lemmas.
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Temel Bulgular & Veri:Some properties of geometrically exponentially convex functions are proven using definitions and lemmas.
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Sonuç & Katkı:In the new theorems obtained, some special results were obtained for α=0.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Hermite-Hadamard · Geometrically exponentially convex functions · Inequalities in the Coordinates

Abstract

The main purpose of this study is to define geometrically exponentially convex functions, which are a more general version, by expanding geometrically convex functions and to create the relevant lemmas. Some properties of geometrically exponentially convex functions are proven using definitions and lemmas. While obtaining the main findings, in addition to basic analysis information, Young and Hölder inequalities, well known in the literature, were also used for the powers of some functions. In the new theorems obtained, some special results were obtained for α=0.

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Bu Makaleye Atıf Yap

Aslan, S. (2024). Some Novel Integral Inequalities on the Co-ordinates for Geometrically Exponentially Convex Functions. Türk Doğa ve Fen Dergisi, Sayı: 1 Özel Sayı, 96–102. https://doi.org/10.46810/tdfd.1423927

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Kaynakça (24)

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