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Hermite‐Hadamard‐type inequalities for interval‐valued coordinated convex functions involving generalized fractional integrals

Hasan Kara, Muhammad Aamir Ali, Hüseyin Budak

2020Mathematical Methods in the Applied Sciences50 citationsDOIOpen Access PDF

Abstract

In this paper, we define interval‐valued left‐sided and right‐sided generalized fractional double integrals. We establish inequalities of Hermite‐Hadamard like for coordinated interval‐valued convex functions by applying our newly defined integrals.

Topics & Concepts

MathematicsHadamard transformHermite polynomialsInterval (graph theory)Type (biology)Convex functionRegular polygonPure mathematicsMathematical analysisCombinatoricsGeometryBiologyEcologyMathematical Inequalities and ApplicationsFuzzy Systems and OptimizationFunctional Equations Stability Results