Some new midpoint and trapezoidal type inequalities in multiplicative calculus with applications
Jianqiang Xie, Ali Muhammad, Sitthiwirattham Thanin
Abstract
In this paper, we use multiplicative twice differentiable functions and establish two new multiplicative integral identities. Then, we use convexity for multiplicative twice differentiable functions and establish some new midpoint and trapezoidal type inequalities in the framework of multiplicative calculus. Finally, we give some applications to special means of real numbers to make these inequalities more interesting for the readers.
Topics & Concepts
MathematicsMidpointMultiplicative functionType (biology)Calculus (dental)InequalityMidpoint methodApplied mathematicsMathematical analysisGeometryBiologyEcologyMedicineDentistryMathematical Inequalities and ApplicationsFunctional Equations Stability ResultsMatrix Theory and Algorithms