2<i>D</i> approximately reciprocal <i>ρ</i>-convex functions and associated integral inequalities
Muhammad Uzair Awan, Nousheen Akhtar, Artion Kashuri, Muhammad Aslam Noor, Yu‐Ming Chu
Abstract
The main objective of this article is to introduce the notion of 2<i>D</i> approximately reciprocal <i>ρ</i>-convex functions, show that this class of functions unifies several other unrelated classes of reciprocal convex functions, obtain several new refinements of the Hermite-Hadamard type inequalities involving 2<i>D</i> approximately reciprocal <i>ρ</i>-convex functions, provide some bounds pertaining to the trapezium like inequalities by using partial differentiable 2<i>D</i> approximately reciprocal <i>ρ</i>-convex functions, and discuss the special cases of the obtained results.
Topics & Concepts
ReciprocalConvex functionMathematicsDifferentiable functionRegular polygonPure mathematicsHadamard transformClass (philosophy)InequalityCombinatoricsMathematical analysisComputer scienceGeometryArtificial intelligencePhilosophyLinguisticsMathematical Inequalities and ApplicationsFunctional Equations Stability Results