Degree of simultaneous approximation by Birkhoff splines

Author:

Gonska Heiner,Kacsó Daniela

Abstract

In the present note we study the degree of simultaneous approximation by certain Birkhoff spline interpolation operators. Special emphasis is on estimates in terms of higher order moduli of smoothness. This generalizes earlier results of Meir and Sharma, Demko, Howell and Varma, and Buckett and Varma.

Publisher

Academia Romana Filiala Cluj

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis,Mathematics (miscellaneous)

Reference21 articles.

1. Burkett, J. and Varma, A. K., Lacunary interpolation by splines, (0,1,2,4) case, in: Constructive Theory of Functions (Proc. Int. Conf. Varna 1991

2. ed. by K.G. Ivanov et al.), pp. 9-17, Publ. House of the Bulgarian Academy of Sciences, Sofia, 1992.

3. Burkett, J. and Varma, A. K., Lacunary spline interpolation, Suppl. Rend. Circ. Mat. Palermo, (2) 33, pp. 219-228, 1993.

4. Carlson, R. E. and Hall, C. A., Bicubic spline interpolation in rectangular polygons, J. Approx. Theory, 6, pp. 366-377, 1972, https://doi.org/10.1016/0021-9045(72)90044-5

5. Demko, S., Lacunary polynomial spline interpolation, SIAM J. Numer. Anal., 13, pp. 369-381, 1976, https://doi.org/10.1137/0713033

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