کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4631622 1340626 2010 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the analyticity of functions approximated by their q-Bernstein polynomials when q > 1
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
On the analyticity of functions approximated by their q-Bernstein polynomials when q > 1
چکیده انگلیسی
Despite the intensive research conducted in the area lately, the class of functions which are uniformly approximated by their q-Bernstein polynomials on [0, 1] is yet to be described. In this paper, we prove that if f:[0,1]→C is analytic at 0 and can be uniformly approximated by its q-Bernstein polynomials (q > 1) on [0, 1], then f admits an analytic continuation from [0, 1] into {z: ∣z∣ < 1}.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 217, Issue 1, 1 September 2010, Pages 65-72
نویسندگان
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