Yet another look at positive linear operators, \(q\)-monotonicity and applications (Q738819)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Yet another look at positive linear operators, \(q\)-monotonicity and applications |
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Yet another look at positive linear operators, \(q\)-monotonicity and applications (English)
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16 August 2016
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For each \(q \in N_0\), the authors construct positive linear polynomial approximation operators \(M_n\) that simultaneously preserve \( k\)-monotonicity for all \(0\leq k\leq q\) and established some direct estimates in terms of Ditzian-Totik modulus of continuity.
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positive linear operators
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degree of approximation
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Jackson-type estimates
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moduli of smoothness
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Gavrea's operator
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Bernstein-Durrmeyer-Lupas
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polynomials with ultraspherical weights
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