Linear combinations of orthogonal polynomials generating positive quadrature formulas
نویسندگان
چکیده
منابع مشابه
Linear Combinations of Orthogonal Polynomials Generating Positive Quadrature Formulas
Let pk(x) = x +■■■ , k e N0 , be the polynomials orthogonal on [-1, +1] with respect to the positive measure da . We give sufficient conditions on the real numbers p , j = 0, ... , m , such that the linear combination of orthogonal polynomials YfLo^jPn-j has n simple zeros in (—1,-1-1) and that the interpolatory quadrature formula whose nodes are the zeros of Yfj=oßjPn-j has positive weights.
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 1990
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-1990-1023052-9