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- W1993111114 abstract "The Bernstein–Durrmeyer operator with respect to arbitrary measure is a modification of the classical Bernstein operator for functions from the corresponding weighted L q -spaces on a simplex in R d . As a first step in studying convergence of this operator, we consider uniform convergence. We prove that uniform convergence holds for all continuous functions if and only if the measure is strictly positive on the simplex. As a consequence, strict positivity of the measure is sufficient for convergence in the weighted L q -spaces." @default.
- W1993111114 created "2016-06-24" @default.
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- W1993111114 date "2012-10-01" @default.
- W1993111114 modified "2023-09-29" @default.
- W1993111114 title "Uniform convergence of Bernstein–Durrmeyer operators with respect to arbitrary measure" @default.
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- W1993111114 doi "https://doi.org/10.1016/j.jmaa.2012.03.004" @default.
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