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

Volume: 3 Number: 1 December 22, 2014
  • Osman Işık
  • Zekeriya Güney
  • Mehmwt Sezer
EN TR

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

Turkish

Subjects

-

Journal Section

-

Authors

Osman Işık This is me

Zekeriya Güney This is me

Mehmwt Sezer This is me

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