Monotonicity of sequences of positive linear operators generated by measures (Q1078788)
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scientific article; zbMATH DE number 3962393
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Monotonicity of sequences of positive linear operators generated by measures |
scientific article; zbMATH DE number 3962393 |
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Monotonicity of sequences of positive linear operators generated by measures (English)
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1985
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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.
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multidimensional positive linear operators
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simplicial Bernstein polynomials
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