Generalized Bernstein Kantorovich operators: Voronovskaya type results, convergence in variation
Ana Maria Acu, Ali̇ Aral, Ioan Raşa
Abstract
This paper includes Voronovskaya type results and convergence in variation for the exponential Bernstein Kantorovich operators. The Voronovskaya type result is accompanied by a relation between the mentioned operators and suitable auxiliary discrete operators. Convergence of the operators with respect to the variation seminorm is obtained in the space of functions with bounded variation. We propose a general framework covering the results provided by previous literature.
Topics & Concepts
Bounded variationMathematicsVariation (astronomy)Convergence (economics)Exponential typeType (biology)Bounded functionExponential functionApplied mathematicsRelation (database)Operator theoryMathematical analysisComputer scienceEcologyDatabaseEconomicsBiologyEconomic growthPhysicsAstrophysicsApproximation Theory and Sequence SpacesIterative Methods for Nonlinear EquationsAdvanced Harmonic Analysis Research