Order regularity of two-node Birkhoff interpolation with lacunary polynomials

Applied Mathematics Letters

Volumn 22, Issue 3, 2009, Pages 386-389

  Palacios Quinonero F ^a   Rubio Diaz P ^a   Diaz Barrero J L ^a  

^a UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

Algebraic interpolation; Birkhoff interpolation; Lacunary polynomials; One node and two node problems; Order regularity

Indexed keywords

INTERPOLATION; POLYNOMIAL APPROXIMATION; POLYNOMIALS;

ALGEBRAIC INTERPOLATION; BIRKHOFF INTERPOLATION; LACUNARY POLYNOMIALS; ONE-NODE AND TWO-NODE PROBLEMS; ORDER REGULARITY;

PROBLEM SOLVING;

EID: 56949105014     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aml.2008.06.004     Document Type: Article

References (4)

1. Schoenberg I.J. On Hermite-Birkhoff interpolation. J. Math. Anal. Appl. 16 (1966) 538-543
2. Lorentz G.G., Jetter K., and Riemenschneider S.D. Birkhoff Interpolation (1984), Addison-Wesley Pub.
3. Passow E. Extended Chebyshev systems on (- ∞, ∞). SIAM J. Math. Anal. 5 5 (1974) 162-763
4. Palacios F., and Rubió P. Generalized Pólya condition for Birkhoff Interpolation with lacunary polynomials. Appl. Math. E-Notes 3 (2003) 124-129