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

Cilt: 3 Sayı: 3 26 Haziran 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

Kaynakça

  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.

Ayrıntılar

Birincil Dil

İngilizce

Konular

-

Bölüm

-

Yazarlar

Osman Işık Bu kişi benim

Zekeriya Güney Bu kişi benim

Mehmwt Sezer Bu kişi benim

Yayımlanma Tarihi

26 Haziran 2015

Gönderilme Tarihi

13 Mart 2015

Kabul Tarihi

-

Yayımlandığı Sayı

Yıl 2015 Cilt: 3 Sayı: 3

Kaynak Göster

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, ve 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 (01 Haziran 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, ve M. Sezer, “A multivariate rational interpolation with no poles in ℝ^{m}”, New Trends in Mathematical Sciences, c. 3, sy 3, ss. 19–28, Haz. 2015, [çevrimiçi]. Erişim adresi: 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 (01 Haziran 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, vd. “A multivariate rational interpolation with no poles in ℝ^{m}”. New Trends in Mathematical Sciences, c. 3, sy 3, Haziran 2015, ss. 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]. 01 Haziran 2015;3(3):19-28. Erişim adresi: https://izlik.org/JA67MC53PL