The paper deals with the Lagrange interpolation of functions having a bounded variation derivative. For special systems of nodes, it is shown that this polynomial sequence converges with the best approximation order. The L p weighted case is also discussed.
Some new results on Lagrange interpolation for bounded variation functions
MASTROIANNI, Giuseppe Maria;RUSSO, Maria Grazia
2010-01-01
Abstract
The paper deals with the Lagrange interpolation of functions having a bounded variation derivative. For special systems of nodes, it is shown that this polynomial sequence converges with the best approximation order. The L p weighted case is also discussed.File in questo prodotto:
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