New Hadamard Type Inequalities for Modified h-Convex Functions
Daniel Breaz, Çetin Yıldız, Luminiţa-Ioana Cotîrlă, Gauhar Rahman, Büşra Yergöz
Abstract
In this article, we demonstrated various Hermite–Hadamard and Fejér type inequalities for modified h-convex functions. We showed several inequalities for the products of two modified h-convex functions. New identities related to inequalities in various forms are also established for different values of the h(φt) function. We believe that the approach presented in this paper will inspire more research in this area.
Topics & Concepts
Hadamard transformConvex functionMathematicsInequalityPure mathematicsHermite polynomialsType (biology)Regular polygonFunction (biology)Mathematical analysisGeometryGeologyEvolutionary biologyBiologyPaleontologyMathematical Inequalities and ApplicationsFunctional Equations Stability ResultsMathematical functions and polynomials