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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 53 Issue: 3

On Hardy and Hermite-Hadamard inequalities for $N$-tuple diamond-alpha integral

Zhong-xuan Mao(North China Electric Power University)0000-0001-5089-301X
Wen-bin Zhang(North China Electric Power University)0000-0002-9964-357X
Jing-feng Tian(North China Electric Power University)0000-0003-1711-1113
Sayfa
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Yayın Tarihi
2024-06-27
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Yapay Zeka Hızlı Bakış & Çıkarımlar

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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The cases of Hardy type inequality with a weighted function and Hermite-Hadamard type inequality with three variables are also considered minutely.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, we aim to construct $n$ dimensional Jensen, Hardy and Hermite-Hadamard type inequalities for multiple diamond-alpha integral on time scales.
📊
Temel Bulgular & Veri:In this paper, we aim to construct $n$ dimensional Jensen, Hardy and Hermite-Hadamard type inequalities for multiple diamond-alpha integral on time scales.
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Sonuç & Katkı:The cases of Hardy type inequality with a weighted function and Hermite-Hadamard type inequality with three variables are also considered minutely.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Hardy type inequality · Hermite-Hadamard type inequality · diamond-alpha integral

Abstract

In this paper, we aim to construct $n$ dimensional Jensen, Hardy and Hermite-Hadamard type inequalities for multiple diamond-alpha integral on time scales. The cases of Hardy type inequality with a weighted function and Hermite-Hadamard type inequality with three variables are also considered minutely.

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Bu Makaleye Atıf Yap

Mao, Z., Zhang, W., Tian, J. (2024). On Hardy and Hermite-Hadamard inequalities for $N$-tuple diamond-alpha integral. Hacettepe Journal of Mathematics and Statistics, Volume: 53 Issue: 3. https://doi.org/10.15672/hujms.1191725

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