Local fractional Newton’s inequalities involving generalized harmonic convex functions
Sabah Iftikhar, Samet Erden, Poom Kumam, Muhammad Uzair Awan
Abstract
Abstract A new auxiliary result based on a three step quadratic kernel utilizing the concepts of local fractional calculus is obtained. Using this new auxiliary result we have several new Newton type inequalities whose power q of local fractional derivative in modulus is a generalized harmonic convex function.
Topics & Concepts
MathematicsFractional calculusQuadratic equationHarmonic functionMathematical analysisApplied mathematicsHarmonicConvex functionRegular polygonOrdinary differential equationPure mathematicsDifferential equationGeometryQuantum mechanicsPhysicsFractional Differential Equations SolutionsMathematical Inequalities and ApplicationsIterative Methods for Nonlinear Equations