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- W2004925802 abstract "For any nonnegative continuous function f(x) defined on [−1,1], and f≢0, the present paper proves that, there is a polynomial Pn(x)∈Πn such that |f(x)−1Pn(x)|≤C(λ)ωφλ(f,n−1δn1−λ(x)), where δn(x)=1−x2+1/n,0≤λ≤1, and Πn is the set of all polynomials of degree n. When f(x) has finite many sign change points, say l points, we also construct a rational function r(x)∈Rnl such that |f(x)−r(x)|≤C(λ,δ,l)ωφλ(f,n−1δn1−λ(x))." @default.
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- W2004925802 date "2010-07-01" @default.
- W2004925802 modified "2023-09-25" @default.
- W2004925802 title "Pointwise and global estimate for approximation by rational functions with prescribed numerator degree" @default.
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- W2004925802 doi "https://doi.org/10.1016/j.jat.2010.02.003" @default.
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