Generalized Kantorovich modifications of positive linear operators
Ana Maria Acu, Ioan Cristian Buşcu, Ioan Raşa
Abstract
Starting with a positive linear operator we apply the Kantorovich modification and a related modification. The resulting operators are investigated. We are interested in the eigenstructure, Voronovskaya formula, the induced generalized convexity, invariant measures and iterates. Some known results from the literature are extended.
Topics & Concepts
ConvexityIterated functionMathematicsLinear operatorsOperator (biology)Linear mapInvariant (physics)Operator theoryAlgebra over a fieldPure mathematicsApplied mathematicsMathematical analysisMathematical physicsChemistryTranscription factorRepressorEconomicsBiochemistryFinancial economicsBounded functionGeneApproximation Theory and Sequence SpacesIterative Methods for Nonlinear EquationsMathematical Inequalities and Applications