On a Durrmeyer-type modification of the Exponential sampling series
Carlo Bardaro, Ilaria Mantellını
Abstract
Abstract In this paper we introduce the exponential sampling Durrmeyer series. We discuss pointwise and uniform convergence properties and an asymptotic formula of Voronovskaja type. Quantitative results are given, using the usual modulus of continuity for uniformly continuous functions. Some examples are also described.
Topics & Concepts
MathematicsSeries (stratigraphy)PointwiseExponential typeExponential functionPointwise convergenceUniform convergenceConvergence (economics)Type (biology)Sampling (signal processing)Applied mathematicsModulus of continuityRate of convergenceMathematical analysisComputer scienceKey (lock)ApproxComputer visionComputer securityEconomicsBiologyPaleontologyFilter (signal processing)Economic growthBandwidth (computing)EcologyComputer networkOperating systemApproximation Theory and Sequence SpacesMathematical functions and polynomialsMathematical Approximation and Integration