Title of article
POSITIVE LAGRANGE POLYNOMIALS
Author/Authors
ZEKAVAT، S. M. M نويسنده Department of Mathematics, School of Science, Shiraz University, Shiraz, I. R. of Iran , , KHOSHDEL، SH نويسنده Department of Mathematics, School of Science, Shiraz University, Shiraz, I. R. of Iran ,
Issue Information
فصلنامه با شماره پیاپی 0 سال 2008
Pages
5
From page
191
To page
195
Abstract
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 ʹs is identically 1.
Journal title
Iranian Journal of Science and Technology Transaction A: Science
Serial Year
2008
Journal title
Iranian Journal of Science and Technology Transaction A: Science
Record number
1983693
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