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A multivariate rational interpolation with no poles in ℝ^{m}
Abstract
The aim of this paper is to construct a family of rational interpolants that have no poles inRm. This method is an extensionof Floater and Hormanns method [1]. A priori error estimate for the method is given under some regularity conditions
Keywords
References
- M.S. Floater, K. Hormann, Barycentric rational interpolation with no poles and high rates of approximation, Numerische Mathematik, 107 (2006) 315-331.
- J. P. Berrut, H. D. Mittelmann, Lebesgue constant minimizing linear rational interpolation of continuous functions over the interval, Comput. Math. Appl., 33 (1997) 77-86.
- J. P. Berrut, Rational functions for guaranteed and experimentally well-conditioned global interpolation, Comput. Math. Appl., 15 (1988) 1-16.
- J. P. Berrut, Barycentric Lagrange interpolation, SIAM Rev., 46 (2004) 501-517.
- J. P. Berrut, R. Baltensperger, H. D. Mittelmann, Recent developments in barycentric rational interpolation. Trends and Applications in Constructive Approximation(M. G. de Bruin, D. H. Mache, and J. Szabados, eds.), International Series of Numerical Mathematics, 151 (2005) 27-51.
- A. Quarteroni, R. Sacco, F. Saleri, Numerical mathematics, Springer, New York, 2007.
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- B. M¨oßner, U. Reif, Error bounds for polynomial tensor product interpolation, Computing, 86 (2009) 185-197.
Details
Primary Language
Turkish
Subjects
-
Journal Section
-
Publication Date
December 22, 2014
Submission Date
March 13, 2015
Acceptance Date
-
Published in Issue
Year 2015 Volume: 3 Number: 1
APA
Işık, O., Güney, Z., & Sezer, M. (2014). A multivariate rational interpolation with no poles in. New Trends in Mathematical Sciences, 3(1), 19-28. https://izlik.org/JA37LU63DF
AMA
1.Işık O, Güney Z, Sezer M. A multivariate rational interpolation with no poles in. New Trends in Mathematical Sciences. 2014;3(1):19-28. https://izlik.org/JA37LU63DF
Chicago
Işık, Osman, Zekeriya Güney, and Mehmwt Sezer. 2014. “A Multivariate Rational Interpolation With No Poles in”. New Trends in Mathematical Sciences 3 (1): 19-28. https://izlik.org/JA37LU63DF.
EndNote
Işık O, Güney Z, Sezer M (December 1, 2014) A multivariate rational interpolation with no poles in. New Trends in Mathematical Sciences 3 1 19–28.
IEEE
[1]O. Işık, Z. Güney, and M. Sezer, “A multivariate rational interpolation with no poles in”, New Trends in Mathematical Sciences, vol. 3, no. 1, pp. 19–28, Dec. 2014, [Online]. Available: https://izlik.org/JA37LU63DF
ISNAD
Işık, Osman - Güney, Zekeriya - Sezer, Mehmwt. “A Multivariate Rational Interpolation With No Poles in”. New Trends in Mathematical Sciences 3/1 (December 1, 2014): 19-28. https://izlik.org/JA37LU63DF.
JAMA
1.Işık O, Güney Z, Sezer M. A multivariate rational interpolation with no poles in. New Trends in Mathematical Sciences. 2014;3:19–28.
MLA
Işık, Osman, et al. “A Multivariate Rational Interpolation With No Poles in”. New Trends in Mathematical Sciences, vol. 3, no. 1, Dec. 2014, pp. 19-28, https://izlik.org/JA37LU63DF.
Vancouver
1.Osman Işık, Zekeriya Güney, Mehmwt Sezer. A multivariate rational interpolation with no poles in. New Trends in Mathematical Sciences [Internet]. 2014 Dec. 1;3(1):19-28. Available from: https://izlik.org/JA37LU63DF