کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4607242 | 1631435 | 2017 | 8 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Periodic representations and rational approximations of square roots
ترجمه فارسی عنوان
نمایندگی های دوره ای و تقریبی منطقی از ریشه های مربع
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
چکیده انگلیسی
In this paper the properties of Rédei rational functions are used to derive rational approximations for square roots and both Newton and Padé approximations are given as particular cases. As a consequence, such approximations can be derived directly by power matrices. Moreover, Rédei rational functions are introduced as convergents of particular periodic continued fractions and are applied for approximating square roots in the field of p-adic numbers and to study periodic representations. Using the results over the real numbers, we show how to construct periodic continued fractions and approximations of square roots which are simultaneously valid in the real and in the p-adic field.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Approximation Theory - Brought to you by:College of Engineering Chengannur - 'Renewal due by 31 Dec 2017'
Journal: Journal of Approximation Theory - Brought to you by:College of Engineering Chengannur - 'Renewal due by 31 Dec 2017'
نویسندگان
Marco Abrate, Stefano Barbero, Umberto Cerruti, Nadir Murru,