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On the positivity of quadrature formulas with Jacobi abscissas

✍ Scribed by G. Sottas

Publisher
Springer Vienna
Year
1982
Tongue
English
Weight
215 KB
Volume
29
Category
Article
ISSN
0010-485X

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The main object of this paper is to construct a new quadrature formula based on the zeros of the polynomial (1 -x2)P(a'f~)(x)P(a'B)' (x), where P(a'f~)(x) is the Jacobi polynomial of degree n. It is interesting to mention that this quadrature formula is closely related to the wellknown Gaussian Quad