کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4606893 1631409 2016 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Zero distribution of incomplete Padé and Hermite–Padé approximations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Zero distribution of incomplete Padé and Hermite–Padé approximations
چکیده انگلیسی

We prove that a subsequence of the normalized zero counting measures of incomplete Padé approximants tend, as the degree of the numerators goes to infinity and that of the denominators remains bounded, to the uniform distribution on the largest circle centered at the origin inside of which the approximants converge in the sense of the Hausdorff content. As a consequence, a Jentzsch–Szegő type theorem for row sequences of Hermite–Padé approximants is given.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Approximation Theory - Volume 201, January 2016, Pages 13–29
نویسندگان
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