Journal of Mathematical Sciences: Advances and Applications[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-DÃaz, J. DÃaz-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-DÃaz, J. DÃaz-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.
