On fractional biparameterized Newton-type inequalities
Wedad Saleh, Abdelghani Lakhdari, Thabet Abdeljawad, Badreddine Meftah
Abstract
Abstract In this work, we present a novel biparameterized identity that yields a family of one-, two-, three-, and four-point Newton-type formulas. Subsequently, we establish some new Newton-type inequalities for functions whose first derivatives are α -convex. The investigation is concluded with numerical examples accompanied by graphical representations to substantiate the accuracy of the obtained results.
Topics & Concepts
MathematicsType (biology)InequalityNewton's methodIdentity (music)Regular polygonApplied mathematicsPure mathematicsCalculus (dental)Mathematical analysisAlgebra over a fieldGeometryNonlinear systemEcologyBiologyDentistryMedicinePhysicsQuantum mechanicsAcousticsMathematical Inequalities and ApplicationsFractional Differential Equations SolutionsIterative Methods for Nonlinear Equations