Hermite-Hadamard Type Inequalities For The Interval-Valued Harmonically <i>h</i>-Convex Functions Via Fractional Integrals

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Budak H., Bilisik C. C., Kashuri A., Ali M. A.

APPLIED MATHEMATICS E-NOTES, pp.12-32, 2021 (ESCI)

• Publication Type: Article / Article
• Publication Date: 2021
• Journal Name: APPLIED MATHEMATICS E-NOTES
• Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
• Page Numbers: pp.12-32
• Kocaeli University Affiliated: No

Abstract

In this paper, we first present a new definition of convex interval-valued functions which is called as interval-valued harmonically h-convex functions. Then, we establish some new Hermite-Hadamard type inequalities for interval-valued harmonically h-convex functions by using fractional integrals. We also discussed some special cases of our main results. Finally, a briefly conclusion is given.