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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2020 / Cilt: 69 - Sayı: 2

On Hermite-Hadamard type inequalities for interval-valued multiplicative integrals

Zhiyue ZHANG
Muhammad Aamir ALİ
Hüseyin BUDAK
Mehmet Zeki SARIKAYA
Pages
1428–1448
Publication Date
2020-12-31
DOI
—
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AI Summary & Key Takeaways

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

We also discuss special cases of our main results which are the extension of already established results.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this work, we define multiplicative integrals for interval-valued functions.
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Key Findings & Data:We establish some new Hermite-Hadamard type inequalities in the setting of interval-valued multiplicative calculus and give some examples to illustrate our main results.
💡
Conclusion & Impact:We also discuss special cases of our main results which are the extension of already established results.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Convex functions · logarithmically convex function · interval-valued functions

Abstract

In this work, we define multiplicative integrals for interval-valued functions. We establish some new Hermite-Hadamard type inequalities in the setting of interval-valued multiplicative calculus and give some examples to illustrate our main results. We also discuss special cases of our main results which are the extension of already established results.

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Cite This Article

ZHANG, Z., ALİ, M. A., BUDAK, H., SARIKAYA, M. Z. (2020). On Hermite-Hadamard type inequalities for interval-valued multiplicative integrals. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Cilt: 69 - Sayı: 2, 1428–1448. https://ajindex.com/articles/746807

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