Conformable fractional Newton-type inequalities with respect to differentiable convex functions
Cihan Ünal, Fatih Hezenci, Hüseyin Budak
Abstract
Abstract The authors propose a new method of investigation of an integral identity according to conformable fractional operators. Moreover, some Newton-type inequalities are considered for differentiable convex functions by taking the modulus of the newly established equality. In addition, we prove several Newton-type inequalities with the aid of Hölder and power-mean inequalities. Furthermore, several new results are given by using special choices of the obtained inequalities. Finally, we give several inequalities of conformable fractional Newton-type for functions of bounded variation.
Topics & Concepts
MathematicsConformable matrixDifferentiable functionType (biology)Convex functionInequalityBounded functionPure mathematicsIdentity (music)Mathematical analysisRegular polygonApplied mathematicsGeometryEcologyBiologyQuantum mechanicsPhysicsAcousticsFractional Differential Equations SolutionsMathematical Inequalities and ApplicationsNonlinear Differential Equations Analysis