Shepard–Bernoulli operators
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- by R. Caira and F. Dell’Accio PDF
- Math. Comp. 76 (2007), 299-321 Request permission
Abstract:
We introduce the Shepard–Bernoulli operator as a combination of the Shepard operator with a new univariate interpolation operator: the generalized Taylor polynomial. Some properties and the rate of convergence of the new combined operator are studied and compared with those given for classical combined Shepard operators. An application to the interpolation of discrete solutions of initial value problems is given.References
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Additional Information
- R. Caira
- Affiliation: Dipartimento di Matematica, Università della Calabria, 87036 Rende (Cs), Italy
- Email: caira@unical.it
- F. Dell’Accio
- Affiliation: Dipartimento di Matematica, Università della Calabria, 87036 Rende (Cs), Italy
- Email: fdellacc@unical.it
- Received by editor(s): November 4, 2004
- Received by editor(s) in revised form: June 3, 2005
- Published electronically: August 8, 2006
- © Copyright 2006 American Mathematical Society
- Journal: Math. Comp. 76 (2007), 299-321
- MSC (2000): Primary 41A05, 41A25; Secondary 65D05
- DOI: https://doi.org/10.1090/S0025-5718-06-01894-1
- MathSciNet review: 2261023