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- W1984245890 abstract "Bernstein polynomials in one variable are known to be total-variation diminishing when compared to the approximated function f. Here we consider the two variable case and give a counterexample to show they are not area-diminishing. Sufficient conditions are then given on a continuous function f to insure convergence in area. A similar theorem is proved for Kantorovitch polynomials in the case f is summable." @default.
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- W1984245890 date "1974-01-01" @default.
- W1984245890 modified "2023-10-14" @default.
- W1984245890 title "Area of Bernstein-type polynomials" @default.
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- W1984245890 doi "https://doi.org/10.1090/s0002-9939-1974-0326236-0" @default.
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