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Splines in Numerical Integration

Udovičić, Zlatko (2010)

Mathematica Balkanica New Series

AMS Subj. Classification: 65D07, 65D30.We gave a short review of several results which are related to the role of splines (cardinal, centered or interpolating) in numerical integration. Results deal with the problem of approximate computation of the integrals with spline as a weight function, but also with the problem of approximate computation of the integrals without weight function. Besides, we presented an algorithm for calculation of the coefficients of the polynomials which correspond to the...

T f -splines et approximation par T f -prolongement

N. Benbourhim, J. Gaches (1993)

Studia Mathematica

We study T f -splines (existence, uniqueness and convergence) in Banach spaces with a view to applications in approximation. Our approach allows, in particular, considering some problems in a more regular domain, and hence facilitating their solution.

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