کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4630408 | 1340599 | 2011 | 5 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A generalization of Descartes’ rule of signs and fundamental theorem of algebra
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: A generalization of Descartes’ rule of signs and fundamental theorem of algebra A generalization of Descartes’ rule of signs and fundamental theorem of algebra](/preview/png/4630408.png)
چکیده انگلیسی
Descartes’ rule of signs yields an upper bound for the number of positive and negative real roots of a given polynomial. The fundamental theorem of algebra implies a similar property; every real polynomial of degree n ⩾ 1 has at most n real zeroes. In this paper, we describe axiomatically function families possessing one or another of these properties. The resulting families include, at least, all polynomial functions and sums of exponential functions. As an application of our approach, we consider, among other things, a method for identifying certain type of bases for the Euclidean space.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 218, Issue 4, 15 October 2011, Pages 1203–1207
Journal: Applied Mathematics and Computation - Volume 218, Issue 4, 15 October 2011, Pages 1203–1207
نویسندگان
Pentti Haukkanen, Timo Tossavainen,