New Hermite–Jensen–Mercer-type inequalities via k-fractional integrals
Saad Ihsan Butt, Muhammad Umar, Saima Rashid, Ahmet Ocak Akdemi̇r, Yu‐Ming Chu
Abstract
Abstract In the article, we establish serval novel Hermite–Jensen–Mercer-type inequalities for convex functions in the framework of the k -fractional conformable integrals by use of our new approaches. Our obtained results are the generalizations, improvements, and extensions of some previously known results, and our ideas and methods may lead to a lot of follow-up research.
Topics & Concepts
MathematicsType (biology)Conformable matrixHermite polynomialsConvex functionPartial differential equationPure mathematicsApplied mathematicsRegular polygonAlgebra over a fieldCalculus (dental)Mathematical analysisGeometryQuantum mechanicsMedicineDentistryBiologyEcologyPhysicsMathematical Inequalities and ApplicationsFunctional Equations Stability ResultsMathematical functions and polynomials