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A new quadrature formula associated with the ultraspherical polynomials

โœ Scribed by Paul Nevai; A.K Varma

Book ID
103141604
Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
281 KB
Volume
50
Category
Article
ISSN
0021-9045

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๐Ÿ“œ SIMILAR VOLUMES

Quadrature formulas associated with Roge
Quadrature formulas associated with Rogersโ€“Szegล‘ polynomials
โœ Ruymรกn Cruz-Barroso; Pablo Gonzรกlez-Vera; F. Perdomo-Pรญo ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 837 KB

This paper is concerned with the estimation of integrals of 2ฯ€ -periodic functions with respect to the Hermite weight function by passing to the unit circle of the complex plane and considering Szegล‘ and interpolatory-type quadrature formulas with respect now to the Rogers-Szegล‘ weight function. Sev

New quadrature formulas based on the zer
New quadrature formulas based on the zeros of Jacobi polynomials
โœ A.K. Varma; E. Landau ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 364 KB

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