Estimates for the differences of positive linear operators and their derivatives
Copyright policy )Estimates for the differences of positive linear operators and their derivatives
The present paper deals with the estimate of the differences of certain positive linear operators and their derivatives. Our approach involves operators defined on bounded intervals, as Bernstein operators, Kantorovich operators, genuine Bernstein-Durrmeyer operators, Durrmeyer operators with Jacobi weights. The estimates in quantitative form are given in terms of first modulus of continuity. In order to analyze the theoretical results in the last section we consider some numerical examples.
Numerical Analysis, 41A25, 41A36, Classical Analysis and ODEs, Approximation by positive operators, Rate of convergence, degree of approximation, Bernstein operators, Numerical Analysis (math.NA), Algorithms for approximation of functions, Classical Analysis and ODEs (math.CA), FOS: Mathematics, differences of operators, Durrmeyer operators, Kantorovich operators, positive linear operators
Numerical Analysis, 41A25, 41A36, Classical Analysis and ODEs, Approximation by positive operators, Rate of convergence, degree of approximation, Bernstein operators, Numerical Analysis (math.NA), Algorithms for approximation of functions, Classical Analysis and ODEs (math.CA), FOS: Mathematics, differences of operators, Durrmeyer operators, Kantorovich operators, positive linear operators
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