Monotonicity of sequences of positive linear operators generated by measures
Copyright policy )Monotonicity of sequences of positive linear operators generated by measures
The present paper continues an earlier paper in studying multidimensional positive linear operators \(L_ n\) generated by measures. The main result says that for continuous functions defined on \({\mathbb{R}}^ m\) being of exponential growth and convex the sequence \((L_ n(f;x))\) is nondecreasing for each fixed x. An application is given for the so-called simplicial Bernstein polynomials.
Approximation by positive operators, Approximation by operators (in particular, by integral operators), Multidimensional problems, Integration with respect to measures and other set functions, simplicial Bernstein polynomials, multidimensional positive linear operators
Approximation by positive operators, Approximation by operators (in particular, by integral operators), Multidimensional problems, Integration with respect to measures and other set functions, simplicial Bernstein polynomials, multidimensional positive linear operators
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