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Journals / New Trends in Mathematical Sciences / 2017 / Cilt: 5 Sayı: 3

Hermite-Hadamard type fractional integral inequalities for generalized (s,m,φ)-preinvex functions

Artion KASHURİ
Rozana LİKO
Pages
97–106
Publication Date
2017-07-01
DOI
—
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AI Summary & Key Takeaways

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

At the end, some applications to special means are given.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In the present paper, by using new identity for fractional integrals some new estimates on generalizations of Hermite-Hadamard type inequalities for the class of generalized (s,m,φ)-preinvex functions via Riemann-Liouville fractional integral are established.
📊
Key Findings & Data:These results not only extend the results appeared in the literature (see [2]), but also provide new estimates on these types.
💡
Conclusion & Impact:At the end, some applications to special means are given.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Hermite-Hadamard inequality · Hölder’s inequality · power mean inequality

Abstract

In the present paper, by using new identity for fractional integrals some new estimates on generalizations of Hermite-Hadamard type inequalities for the class of generalized (s,m,φ)-preinvex functions via Riemann-Liouville fractional integral are established. These results not only extend the results appeared in the literature (see [2]), but also provide new estimates on these types. At the end, some applications to special means are given.

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Cite This Article

KASHURİ, A., LİKO, R. (2017). Hermite-Hadamard type fractional integral inequalities for generalized (s,m,φ)-preinvex functions. New Trends in Mathematical Sciences, Cilt: 5 Sayı: 3, 97–106. https://ajindex.com/articles/1003703

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