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Fractional Hermite-Hadamard-type inequalities for interval-valued co-ordinated convex functions

Hüseyin Budak, Hasan Kara, Muhammad Aamir Ali, Sundas Khan, Yu‐Ming Chu

2021Open Mathematics39 citationsDOIOpen Access PDF

Abstract

Abstract In this work, we introduce the notions about the Riemann-Liouville fractional integrals for interval-valued functions on co-ordinates. We also establish Hermite-Hadamard and some related inequalities for co-ordinated convex interval-valued functions by applying the newly defined fractional integrals. The results of the present paper are the extension of several previously published results.

Topics & Concepts

MathematicsHermite polynomialsHadamard transformInterval (graph theory)Type (biology)Convex functionPure mathematicsRegular polygonMathematical analysisCombinatoricsGeometryEcologyBiologyMathematical Inequalities and ApplicationsFuzzy Systems and OptimizationFunctional Equations Stability Results