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Regularity of multivariate Birkhoff interpolation schemes

Author: Boris Shekhtman
Journal: Proc. Amer. Math. Soc. 142 (2014), 3569-3573
MSC (2010): Primary 41A63, 41A05; Secondary 41A10
Published electronically: June 27, 2014
MathSciNet review: 3238432
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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.

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Additional Information

Boris Shekhtman
Affiliation: Department of Mathematics and Statistics, University of South Florida, Tampa, Florida 33620

Keywords: Birkhoff interpolation, regular interpolation schemes
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
Article copyright: © Copyright 2014 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

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