A multivariate rational interpolation with no poles in ℝ^{m}

Volume: 3 Number: 3 June 26, 2015
  • Osman Işık
  • Zekeriya Güney
  • Mehmwt Sezer
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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

  1. M.S. Floater, K. Hormann, Barycentric rational interpolation with no poles and high rates of approximation, Numerische Mathematik, 107 (2006) 315-331.
  2. 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.
  3. J. P. Berrut, Rational functions for guaranteed and experimentally well-conditioned global interpolation, Comput. Math. Appl., 15 (1988) 1-16.
  4. J. P. Berrut, Barycentric Lagrange interpolation, SIAM Rev., 46 (2004) 501-517.
  5. 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.
  6. A. Quarteroni, R. Sacco, F. Saleri, Numerical mathematics, Springer, New York, 2007.
  7. G. M. Phillips, Interpolation and Approximation by Polynomials,Springer, New York, 2003.
  8. B. M¨oßner, U. Reif, Error bounds for polynomial tensor product interpolation, Computing, 86 (2009) 185-197.

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

Osman Işık This is me

Zekeriya Güney This is me

Mehmwt Sezer This is me

Publication Date

June 26, 2015

Submission Date

March 13, 2015

Acceptance Date

-

Published in Issue

Year 2015 Volume: 3 Number: 3

IZ

https://izlik.org/JA67MC53PL

Cite

RIS / Bibtex
APA
Işık, O., Güney, Z., & Sezer, M. (2015). A multivariate rational interpolation with no poles in ℝ^{m}. New Trends in Mathematical Sciences, 3(3), 19-28. https://izlik.org/JA67MC53PL
AMA
1.Işık O, Güney Z, Sezer M. A multivariate rational interpolation with no poles in ℝ^{m}. New Trends in Mathematical Sciences. 2015;3(3):19-28. https://izlik.org/JA67MC53PL
Chicago
Işık, Osman, Zekeriya Güney, and Mehmwt Sezer. 2015. “A Multivariate Rational Interpolation With No Poles in ℝ^{m}”. New Trends in Mathematical Sciences 3 (3): 19-28. https://izlik.org/JA67MC53PL.
EndNote
Işık O, Güney Z, Sezer M (June 1, 2015) A multivariate rational interpolation with no poles in ℝ^{m}. New Trends in Mathematical Sciences 3 3 19–28.
IEEE
[1]O. Işık, Z. Güney, and M. Sezer, “A multivariate rational interpolation with no poles in ℝ^{m}”, New Trends in Mathematical Sciences, vol. 3, no. 3, pp. 19–28, June 2015, [Online]. Available: https://izlik.org/JA67MC53PL
ISNAD
Işık, Osman - Güney, Zekeriya - Sezer, Mehmwt. “A Multivariate Rational Interpolation With No Poles in ℝ^{m}”. New Trends in Mathematical Sciences 3/3 (June 1, 2015): 19-28. https://izlik.org/JA67MC53PL.
JAMA
1.Işık O, Güney Z, Sezer M. A multivariate rational interpolation with no poles in ℝ^{m}. New Trends in Mathematical Sciences. 2015;3:19–28.
MLA
Işık, Osman, et al. “A Multivariate Rational Interpolation With No Poles in ℝ^{m}”. New Trends in Mathematical Sciences, vol. 3, no. 3, June 2015, pp. 19-28, https://izlik.org/JA67MC53PL.
Vancouver
1.Osman Işık, Zekeriya Güney, Mehmwt Sezer. A multivariate rational interpolation with no poles in ℝ^{m}. New Trends in Mathematical Sciences [Internet]. 2015 Jun. 1;3(3):19-28. Available from: https://izlik.org/JA67MC53PL