Strongly convexity on fractal sets and some inequalities
Rainier Vicente Sánchez, José Sanabria
Abstract
We introduce a generalization of the concept of a strongly convex function on a fractal set, study some algebraic properties and establish Jensen-type and Hermite-Hadamard-type inequalities.
Topics & Concepts
MathematicsGeneralizationConvexityHadamard transformFractalHermite polynomialsPure mathematicsType (biology)InequalityAlgebraic numberSet (abstract data type)Convex functionRegular polygonMathematical analysisComputer scienceGeometryGeologyPaleontologyFinancial economicsEconomicsProgramming languageMathematical Inequalities and ApplicationsFunctional Equations Stability ResultsIterative Methods for Nonlinear Equations