Hermite-Hadamard type inequalities for harmonical $ (h1,h2)- $convex interval-valued functions
Ruonan Liu, Run Xu
Abstract
<p style='text-indent:20px;'>We introduce the concept of interval harmonical <inline-formula><tex-math id="M2">\begin{document}$ (h1,h2)- $\end{document}</tex-math></inline-formula>convex functions, establish some new Hermite-Hadamard type inequalities on interval Riemann integrable functions, and generalize the results of Noor et al. 2015 and Zhao Dafang et al. 2019.
Topics & Concepts
Hermite polynomialsMathematicsInterval (graph theory)Hadamard transformType (biology)Convex functionRegular polygonPure mathematicsLocally integrable functionAlgebra over a fieldDiscrete mathematicsCombinatoricsIntegrable systemMathematical analysisGeometryEcologyBiologyMathematical Inequalities and ApplicationsFunctional Equations Stability ResultsMathematical functions and polynomials