Best local approximation and generalized convexity
نویسندگان
چکیده
منابع مشابه
Polynomial Approximation, Local Polynomial Convexity, and Degenerate Cr Singularities
We begin with the following question: given a closed disc D b C and a complexvalued function F ∈ C(D), is the uniform algebra on D generated by z and F equal to C(D) ? When F ∈ C1(D), this question is complicated by the presence of points in the surface S := graphD(F ) that have complex tangents. Such points are called CR singularities. Let p ∈ S be a CR singularity at which the order of contac...
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We begin with the following question: given a closed disc D ⋐ C and a complex-valued function F ∈ C(D), is the uniform algebra on D generated by z and F equal to C(D) ? When F ∈ C 1 (D), this question is complicated by the presence of points in the surface S := graph D (F) that have complex tangents. Such points are called CR singularities. Let p ∈ S be a CR singularity at which the order of co...
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ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 1985
ISSN: 0021-9045
DOI: 10.1016/0021-9045(85)90059-0