References

INVERTIBILITY OF SUBMATRICES OF THE PASCAL MATRIX AND BIRKHOFF INTERPOLATION


[1] G. D. Birkhoff, General mean value and remainder theorems with applications to mechanical differentiation and integration, Trans. Amer. Math. Soc. 1 (1906), 107-136.

[2] D. Ferguson, The question of uniqueness for G. D. Birkhoff interpolation problems, J. Approx. Th. 2 (1969), 1-28.

[3] S. Kersey, Dual basis functions in subspaces of inner product spaces, Applied Mathematics and Computation 219 (2013), 10012-10024.

[4] S. Kersey, Invertibility of Submatrices of Pascal’s Matrix and Birkhoff Interpolation (preprint). ArXiv:1303.6159, 2013.

[5] F. Palacios-Quiñonero, P. Rubió-Díaz, J. Díaz-Barrero and J. Rossell, Order regularity of two-node Birkhoff interpolation with lacunary polynomials, Applied Mathematics Letters 22 (2009), 386-389.

[6] F. Palacios-Quiñonero, P. Rubió-Díaz, J. Díaz-Barrero and J. Rossell, Order of regularity for Birkhoff interpolation with lacunary polynomials, Mathematica Aeterna 1(3) (2011), 129-135.

[7] G. Pölya, Bemerkungen zur Interpolation und zur Näherungstheorie der Balkenbiegung, Z. Angew. Math. Mech. 11 (1931), 4445-449.

[8] J. M. Whittaker, Interpolatory Function Theory, Cambridge University Press, London, 1935.