کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4607260 1631436 2013 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Approximation by homogeneous polynomials
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Approximation by homogeneous polynomials
چکیده انگلیسی

A new, elementary proof is given for the fact that on a centrally symmetric convex curve on the plane every continuous even function can be uniformly approximated by homogeneous polynomials. The theorem has been proven before by Benko and Kroó, and independently by Varjú using the theory of weighted potentials. In higher dimension the new method recaptures a theorem of Kroó and Szabados, which is the strongest result for homogeneous polynomial approximation on smooth convex surfaces.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Approximation Theory - Volume 174, October 2013, Pages 192–205
نویسندگان
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