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

Osman Işık; Zekeriya Güney; Mehmwt Sezer

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

Yıl 2015, Cilt: 3 Sayı: 3, 19 - 28, 26.06.2015

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

Rational interpolant, Floater and Hormanns method, Error estimate

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: 3, 19 - 28, 26.06.2015

Osman Işık Zekeriya Güney Mehmwt Sezer

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

Birincil Dil	İngilizce
Bölüm	Articles
Yazarlar	Osman Işık Bu kişi benim Zekeriya Güney Bu kişi benim Mehmwt Sezer Bu kişi benim
Yayımlanma Tarihi	26 Haziran 2015
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.
AMA	Işık O, Güney Z, Sezer M. A multivariate rational interpolation with no poles in ℝ^{m}. New Trends in Mathematical Sciences. Haziran 2015;3(3):19-28.
Chicago	Işık, Osman, Zekeriya Güney, ve Mehmwt Sezer. “A Multivariate Rational Interpolation With No Poles in ℝ^{m}”. New Trends in Mathematical Sciences 3, sy. 3 (Haziran 2015): 19-28.
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	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, 2015.
ISNAD	Işık, Osman vd. “A Multivariate Rational Interpolation With No Poles in ℝ^{m}”. New Trends in Mathematical Sciences 3/3 (Haziran 2015), 19-28.
JAMA	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, 2015, ss. 19-28.
Vancouver	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.