POSITIVE LAGRANGE POLYNOMIALS | ||
| Iranian Journal of Science | ||
| مقاله 5، دوره 32، شماره 3، آذر 2008، صفحه 191-195 اصل مقاله (237.56 K) | ||
| نوع مقاله: Regular Paper | ||
| شناسه دیجیتال (DOI): 10.22099/ijsts.2008.2286 | ||
| نویسندگان | ||
| S. M. M. ZEKAVAT* ؛ SH. KHOSHDEL | ||
| Department of Mathematics, School of Science, Shiraz University, Shiraz, I. R. of Iran | ||
| چکیده | ||
| In this paper we demonstrate the existence of a set of polynomials Pi , 1 i n , which are positive semi-definite on an interval [a , b] and satisfy, partially, the conditions of polynomials found in the Lagrange interpolation process. In other words, if a a1 an b is a given finite sequence of real numbers, then Pi (a j ) ij (ij is the Kronecker delta symbol ) ; moreover, the sum of Pi 's is identically 1. | ||
| کلیدواژهها | ||
| Positive polynomials؛ Lagrange polynomials | ||
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آمار تعداد مشاهده مقاله: 942 تعداد دریافت فایل اصل مقاله: 907 |
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