Hermite–Hadamard Type Inequalities For Functions Whose Derivatives Are Strongly $$\eta $$-Convex Via Fractional Integrals

We introduce a new class of interval-valued preinvex functions termed as harmonically h-preinvex interval-valued functions. We establish new inclusion of Hermite–Hadamard for harmonically h-preinvex interval-valued function via interval-valued Riemann–Liouville fractional integrals. Further, we prove fractional Hermite–Hadamard-type inclusions for the product of two harmonically h-preinvex interval-valued functions. In this way, these findings include several well-known results and newly obtained results of the existing literature as special cases. Moreover, applications of the main results are demonstrated by presenting some examples.

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Hermite–Hadamard Type Inequalities For Functions Whose Derivatives Are Strongly $$\eta $$-Convex Via Fractional Integrals

Cited by 4 publications

References 12 publications

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Hermite–Hadamard-type inequalities for strongly $$(\alpha ,m)$$-convex functions via quantum calculus

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Hermite-Hadamard-Type Fractional Inclusions for Interval-Valued Preinvex Functions

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