You are here

Order regularity for Birkhoff interpolation with lacunary polynomials

Journal Name:

Publication Year:

Abstract (2. Language): 
In this short paper we present sufficient conditions for the order regularity problem in Birkhoff interpolation with lacunary polynomials. These conditions are a generalization of the Atkinson-Sharma theorem.
129-135

REFERENCES

References: 

[1] K. Atkinson, A. Sharma, A partial characterization or poised Hermite-Birkhoff interpolation problems, SIAM J. Numer. Anal. 6 (1969)
Order regularity for Birkhoff interpolation with lacunary polynomials 135
[2] D.R. Ferguson, The question of uniqueness for G.D. Birkhoff interpolation problems, J. Approx. Theory 2 (1969), 1-28.
[3] G.G. Lorentz, K. Jetter, S.D. Riemenschneider, Birkhoff interpolation.
Addison-Wesley Pub., 1984.
[4] F. Palacios, P. Rubio, Generalized Polya condition for Birkhoff Interpolation with lacunary polynomials. Appl. Math. E-Notes 3 (2003) 124-129.
[5] F. Palacios-Quinonero, P. Rubiö-Dıaz, J.L. Dıaz-Barrero, Order regularity of two-node Birkhoff interpolation with lacunary polynomials. Appl. Math. Lett. 22 (2009) 386-389.
[6] E. Passow, Extended Chebyshev systems on (—o , o ), SIAM J. Math. Anal. Vol. 5, No. 5 (1974) 162-763.
[7] I.J. Shoenberg, On Hermite-Birkhoff interpolation. J. Math. Anal. Appl.
16 (1966), 538-534.

Thank you for copying data from http://www.arastirmax.com