Optimal local refinable interpolants

Authors:
E. Pellegrino;E. Santi
Affiliations:
DIMEG, University of L'Aquila, Piazza E. Pontieri, 2, 67040 Roio Poggio (AQ), Italy;DIMEG, University of L'Aquila, Piazza E. Pontieri, 2, 67040 Roio Poggio (AQ), Italy
Venue:
Mathematics and Computers in Simulation
Year:
2010

Citing 4
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Abstract

In this paper we construct a set of refinable functions that enjoy some useful properties: they have compact support, satisfy suitable interpolation conditions and constitute the basis for constructing a local interpolatory approximant having arbitrary exactness order of polynomial reproduction.