A multivariate rational interpolation with no poles in

Cilt: 3 Sayı: 1 22 Aralık 2014
  • Osman Işık
  • Zekeriya Güney
  • Mehmwt Sezer
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A multivariate rational interpolation with no poles in ℝ^{m}

Öz

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

Anahtar Kelimeler

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

Türkçe

Konular

-

Bölüm

-

Yazarlar

Osman Işık Bu kişi benim

Zekeriya Güney Bu kişi benim

Mehmwt Sezer Bu kişi benim

Yayımlanma Tarihi

22 Aralık 2014

Gönderilme Tarihi

13 Mart 2015

Kabul Tarihi

-

Yayımlandığı Sayı

Yıl 2015 Cilt: 3 Sayı: 1

Kaynak Göster

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, ve 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 (01 Aralık 2014) A multivariate rational interpolation with no poles in. New Trends in Mathematical Sciences 3 1 19–28.
IEEE
[1]O. Işık, Z. Güney, ve M. Sezer, “A multivariate rational interpolation with no poles in”, New Trends in Mathematical Sciences, c. 3, sy 1, ss. 19–28, Ara. 2014, [çevrimiçi]. Erişim adresi: 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 (01 Aralık 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, vd. “A multivariate rational interpolation with no poles in”. New Trends in Mathematical Sciences, c. 3, sy 1, Aralık 2014, ss. 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]. 01 Aralık 2014;3(1):19-28. Erişim adresi: https://izlik.org/JA37LU63DF