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Bounds for a class of linear functionals with applications to Hermite interpolation. (English) Zbl 0214.41405


MSC:

65D15 Algorithms for approximation of functions
65D05 Numerical interpolation
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References:

[1] Agmon, S.: Lectures on elliptic boundary value problems. Van Nostrand 1965 · Zbl 0142.37401
[2] Ahlin, A. C.: A bivariate generalization of Hermite’s interpolation formula. Math. Comp.18, 264–273 (1964). · Zbl 0122.12501
[3] Birkhoff, G., Schultz, M., Varga,R.: Piecewise Hermite interpolation in one and two variables with applications to partial differential equations. Num. Math.11, 232–256 (1968). · Zbl 0159.20904
[4] Bramble, J. H., Hilbert, S. R.: Estimation of linear functionals on Sobolev spaces with applications to Fourier transforms and spline interpolation. S.I.A.M. Num. anal.7, 112–124 (1970). · Zbl 0201.07803
[5] Morrey, C.: Multiple integrals in the calculus of variations. Berlin-Heidelberg-New York: Springer 1966. · Zbl 0142.38701
[6] Smith, K. T.: Inequalities for formally positive integro-differential forms. Bull. A.M.S.67, 368–370 (1961). · Zbl 0103.07602
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