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Journals / Sigma Mühendislik ve Fen Bilimleri Dergisi / 2019 / Cilt: 37 - Sayı: 2

IMPROVED HERMITE-HADAMARD TYPE INEQUALITIES FOR CONVEX FUNCTIONS VIA KATUGAMPOLA FRACTIONAL INTEGRALS

Zeynep ŞANLI
Mehmet KUNT
Tuncay KÖROĞLU
Pages
461–474
Publication Date
2019-06-01
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Our results generalize earlier results.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we gave adjustments for some results in the paper [1], and proved three new Katugampola fractional Hermite-Hadamard type inequalities for convex functions by using the left and the right fractional integrals independently.
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Key Findings & Data:One of our Katugampola fractional Hermite-Hadamard type inequalities is better than given by Chen and Katugampola.
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Conclusion & Impact:Our results generalize earlier results.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Hermite-Hadamard inequalities · Katugampola fractional integrals · convex functions.

Abstract

In this paper, we gave adjustments for some results in the paper [1], and proved three new Katugampola fractional Hermite-Hadamard type inequalities for convex functions by using the left and the right fractional integrals independently. One of our Katugampola fractional Hermite-Hadamard type inequalities is better than given by Chen and Katugampola. Also, we gave two new Katugampola fractional identities for differentiable functions. By using these identities, we obtained some new trapezoidal type inequalities for convex functions. Our results generalize earlier results.

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Cite This Article

ŞANLI, Z., KUNT, M., KÖROĞLU, T. (2019). IMPROVED HERMITE-HADAMARD TYPE INEQUALITIES FOR CONVEX FUNCTIONS VIA KATUGAMPOLA FRACTIONAL INTEGRALS. Sigma Mühendislik ve Fen Bilimleri Dergisi, Cilt: 37 - Sayı: 2, 461–474. https://ajindex.com/articles/419355

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References (14)

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