A New Version of <i>q</i>-Hermite-Hadamard’s Midpoint and Trapezoid Type Inequalities for Convex Functions
Muhammad Aamir Ali, Hüseyin Budak, Mičhal Fĕckan, Sundas Khan
Abstract
Abstract In this paper, we establish a new variant of q -Hermite-Hadamard inequality for convex functions via left and right q -integrals. Moreover, we prove some new q -midpoint and q -trapezoid type inequalities for left and right q -differentiable functions. To illustrate the newly established inequalities, we give some particular examples of convex functions.
Topics & Concepts
MidpointMathematicsHadamard transformDifferentiable functionConvex functionHermite polynomialsType (biology)Regular polygonPure mathematicsMathematical analysisGeometryBiologyEcologyMathematical Inequalities and ApplicationsMathematical functions and polynomialsFunctional Equations Stability Results