Regularity of multivariate Birkhoff interpolation schemes
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- by Boris Shekhtman PDF
- Proc. Amer. Math. Soc. 142 (2014), 3569-3573 Request permission
Abstract:
In this short note we address a conjecture of Ron-Qing Jia and A. Sharma regarding regularity of certain multivariate Birkhoff interpolation schemes. While originally conjectured for polynomials over reals, the conjecture turns out to be true over the complex field and false over the real field.References
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Additional Information
- Boris Shekhtman
- Affiliation: Department of Mathematics and Statistics, University of South Florida, Tampa, Florida 33620
- MR Author ID: 195882
- Email: shekhtma@usf.edu
- Received by editor(s): September 20, 2012
- Received by editor(s) in revised form: November 8, 2012
- Published electronically: June 27, 2014
- Communicated by: Walter Van Assche
- © Copyright 2014
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 142 (2014), 3569-3573
- MSC (2010): Primary 41A63, 41A05; Secondary 41A10
- DOI: https://doi.org/10.1090/S0002-9939-2014-12091-0
- MathSciNet review: 3238432