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Inequalities involving generalized interpolation polynomials

✍ Scribed by Jiajin Wen; Wan-lan Wang


Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
421 KB
Volume
56
Category
Article
ISSN
0898-1221

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✦ Synopsis


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:

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The approach used is able to combine algebraic and analytical theories.


πŸ“œ SIMILAR VOLUMES


Interpolation by Generalized Polynomials
✍ S.S. Xu πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 270 KB

In 1990, A. Horwitz proved a theorem about interpolation by restricted range polynomials and asked some ralted questions. This paper gives affirmative answers to Horwitz' questions and generalizes his theorem. 1993 Academic Press. Inc.