BibTex RIS Kaynak Göster

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

Yıl 2015, Cilt: 3 Sayı: 1, 19 - 28, 22.12.2014

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

Kaynakça

  • 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.
  • G. M. Phillips, Interpolation and Approximation by Polynomials,Springer, New York, 2003.
  • B. M¨oßner, U. Reif, Error bounds for polynomial tensor product interpolation, Computing, 86 (2009) 185-197.
  • A. Sommariva, M. Vianello, R. Zanovello, Adaptive bivariate Chebyshev approximation, Numer. Algorithms 38 (2005) 79-94.

A multivariate rational interpolation with no poles in

Yıl 2015, Cilt: 3 Sayı: 1, 19 - 28, 22.12.2014

Öz

Kaynakça

  • 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.
  • G. M. Phillips, Interpolation and Approximation by Polynomials,Springer, New York, 2003.
  • B. M¨oßner, U. Reif, Error bounds for polynomial tensor product interpolation, Computing, 86 (2009) 185-197.
  • A. Sommariva, M. Vianello, R. Zanovello, Adaptive bivariate Chebyshev approximation, Numer. Algorithms 38 (2005) 79-94.
Toplam 9 adet kaynakça vardır.

Ayrıntılar

Yazarlar

Osman Işık Bu kişi benim

Zekeriya Güney Bu kişi benim

Mehmwt Sezer Bu kişi benim

Yayımlanma Tarihi 22 Aralık 2014
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.Işık O, Güney Z, Sezer M. 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