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On some new quantum midpoint-type inequalities for twice quantum differentiable convex functions

Muhammad Aamir Ali, Necmettin Alp, Hüseyin Budak, Yu‐Ming Chu, Zhiyue Zhang

2021Open Mathematics46 citationsDOIOpen Access PDF

Abstract

Abstract The present paper aims to find some new midpoint-type inequalities for twice quantum differentiable convex functions. The consequences derived in this paper are unification and generalization of the comparable consequences in the literature on midpoint inequalities.

Topics & Concepts

MidpointMathematicsDifferentiable functionType (biology)GeneralizationQuantumRegular polygonUnificationPure mathematicsInequalityConvex functionMidpoint methodMathematical analysisGeometryQuantum mechanicsPhysicsBiologyEcologyComputer scienceProgramming languageMathematical Inequalities and ApplicationsFunctional Equations Stability Results