کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4608005 | 1337897 | 2008 | 22 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A de Montessus type convergence study of a least-squares vector-valued rational interpolation procedure
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
In a recent paper of the author [A. Sidi, A new approach to vector-valued rational interpolation, J. Approx. Theory 130 (2004) 177–187], three new interpolation procedures for vector-valued functions F(z)F(z), where F:C→CNF:C→CN, were proposed, and some of their algebraic properties were studied. One of these procedures, denoted IMPE, was defined via the solution of a linear least-squares problem. In the present work, we concentrate on IMPE, and study its convergence properties when it is applied to meromorphic functions with simple poles and orthogonal vector residues. We prove de Montessus and Koenig type theorems when the points of interpolation are chosen appropriately.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Approximation Theory - Volume 155, Issue 2, December 2008, Pages 75–96
Journal: Journal of Approximation Theory - Volume 155, Issue 2, December 2008, Pages 75–96
نویسندگان
Avram Sidi,