Abstract
A quasi-interpolant is an operator L having the form
The points y i are called “nodes”; they are prescribed in ℝn. The entities g i are prescribed functions from ℝn to ℝ. The case of irregularly situated nodes is of particular interest. We investigate the question of how to select the “base functions” g i in order to obtain favorable estimates of ∥Lf - f∥.
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Dedicated to Walter Gautschi on the occasion of his 65th birthday
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© 1994 Birkhäuser
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Cheney, E.W., Lei, J. (1994). Quasi-Interpolation on Irregular Points. In: Zahar, R.V.M. (eds) Approximation and Computation: A Festschrift in Honor of Walter Gautschi. ISNM International Series of Numerical Mathematics, vol 119. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4684-7415-2_8
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DOI: https://doi.org/10.1007/978-1-4684-7415-2_8
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