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Quadrature formulae and Hermite-Birkhoff interpolation

โœ Scribed by C.A Micchelli; T.J Rivlin


Publisher
Elsevier Science
Year
1973
Tongue
English
Weight
705 KB
Volume
11
Category
Article
ISSN
0001-8708

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๐Ÿ“œ SIMILAR VOLUMES


On Hermite-Birkhoff interpolation
โœ I.J Schoenberg ๐Ÿ“‚ Article ๐Ÿ“… 1966 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 256 KB
Generalized Gaussian Birkhoff Quadrature
โœ Y.G. Shi ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 190 KB

Existence of a generalized Gaussian Birkhoff quadrature formula is proved for a wide class of incidence matrices which satisfy the delayed Pรณlya conditions and contain no odd non-Hermitian sequences in the interior rows. 1995 Academic Press, Inc.

On Birkhoff quadrature formulas II
โœ A.K Varma; R.B Saxena ๐Ÿ“‚ Article ๐Ÿ“… 1989 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 188 KB
Lacunary Quadrature Formulae and Interpo
โœ D.K. Dimitrov ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 299 KB

Birkhoff quadrature formulae (q.f.), which have algebraic degree of precision (ADP) greater than the number of values used, are studied. In particular, we construct a class of quadrature rules of \(\mathrm{ADP}=2 n+2 r+1\) which are based on the information \(\left\{f^{(j)}(-1), f^{(1 \prime}(1), j=