Litcius/Paper detail

Some New Hermite–Hadamard-Type Inequalities Associated with Conformable Fractional Integrals and Their Applications

Arshad Iqbal, Muhammad Adil Khan, Sana Ullah, Yu‐Ming Chu

2020Journal of Function Spaces64 citationsDOIOpen Access PDF

Abstract

In this article, we establish some new Hermite–Hadamard-type inequalities involving the conformable fractional integrals. As applications, several inequalities for the approximation error in the midpoint formula and certain bivariate means are derived.

Topics & Concepts

Conformable matrixHadamard transformHermite polynomialsMathematicsType (biology)Bivariate analysisMidpointPure mathematicsApplied mathematicsMathematical analysisAlgebra over a fieldGeometryStatisticsPhysicsQuantum mechanicsEcologyBiologyMathematical Inequalities and ApplicationsFractional Differential Equations SolutionsMathematical functions and polynomials