Hermite-Hadamard-type inequalities for conformable integrals
Martin Böhner, Artion Kashuri, Pshtiwan Othman Mohammed, Juan E. Nápoles Valdés
Abstract
In this study, some inequalities of Hermite-Hadamard type for integrals arising in conformable fractional calculus are presented. In fact, the obtained inequalities are not only valid for those integrals arising in conformable fractional calculus, but for more general integrals as well. Numerous known versions are recovered as special cases. We also illustrate our findings via applications to modified Bessel functions, special means, and midpoint approximations.
Topics & Concepts
Conformable matrixMathematicsHermite polynomialsHadamard transformType (biology)Bessel functionMidpointPure mathematicsFractional calculusCalculus (dental)Algebra over a fieldMathematical analysisGeometryDentistryEcologyQuantum mechanicsMedicinePhysicsBiologyMathematical Inequalities and ApplicationsFractional Differential Equations SolutionsMathematical functions and polynomials