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General structure of interpolational functional polynomials

โœ Scribed by V. L. Makarov; V. V. Khlobystov

Book ID
112473428
Publisher
Springer
Year
1991
Tongue
English
Weight
351 KB
Volume
43
Category
Article
ISSN
0041-5995

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๐Ÿ“œ SIMILAR VOLUMES

Inequalities involving generalized inter
Inequalities involving generalized interpolation polynomials
โœ Jiajin Wen; Wan-lan Wang ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 421 KB

The generalized Vandermonde determinant and the generalized interpolation polynomial are defined. We establish inequalities involving generalized interpolation polynomials under the proper hypotheses. Our main result is: . The approach used is able to combine algebraic and analytical theories.

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โœ I.H. Sloan ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 537 KB

This paper studies a generalization of polynomial interpolation: given a continuous function over a rather general manifold, hyperinterpolation is a linear approximation that makes use of values of \(f\) on a well chosen finite set. The approximation is a discrete least-squares approximation constru