Average linear approximations for smooth functions

Average linear approximations for smooth functions using empirical and Gaussian probabilities are introduced. The convergence of these approximations is shown to be uniform, in the sense of the Weierstrass approximation theorem. Average linear approximations with prearranged error functions are finally studied.

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Year of publication:	2005
Authors:	Pallini, Andrea
Published in:	Statistica. - Dipartimento di Scienze Statistiche "Paolo Fortunati", ISSN 0390-590X. - Vol. 65.2005, 2, p. 271-292
Publisher:	Dipartimento di Scienze Statistiche "Paolo Fortunati"

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10008774082