Construction of a new modification of Baskakov operators on (0,∞)
Wen-Tao Cheng, S. A. Mohiuddine
Abstract
In this manuscript, we construct new modification of Baskakov operators on (0,?) using the second central moment of the classical Baskakov operators. And the moments and the central moments computation formulas and their quantitative properties are computed. Then, rate of convergence, point-wise estimates, weighted approximation and Voronovskaya type theorem for the new operators are established. Also, Kantorovich and Durrmeyer type generalizations are discussed. Finally, some graphs and numerical examples are showed by using Matlab algorithms.
Topics & Concepts
MathematicsBaskakov operatorComputationType (biology)Convergence (economics)Rate of convergenceMoment (physics)Point (geometry)Applied mathematicsAlgebra over a fieldMathematical analysisPure mathematicsOperator theoryAlgorithmGeometryFourier integral operatorMicrolocal analysisElectrical engineeringEconomicsBiologyEconomic growthEngineeringClassical mechanicsEcologyPhysicsChannel (broadcasting)Approximation Theory and Sequence SpacesMathematical Approximation and IntegrationAdvanced Computational Techniques in Science and Engineering