Weighted arithmetic means possessing 0 the interpolation property

descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 1988 English Publisher:Springer Science and Business Media LLCJournal:Calcolo, volume 25, pages 203-217 (issn: 0008-0624, eissn: 1126-5434,

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Authors: G. Allasia; R. Besenghi; V. Demichelis;

doi: 10.1007/bf02575944

Weighted arithmetic means possessing 0 the interpolation property

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Abstract

A method to construct a wide class of weighted arithmetic means, possessing the interpolation property, is proposed. The approximation problem of a continuous real function by these interpolating mean functions is examined. A few examples are given and include the Shepard formula and the classical Hermite-Fejer formula.

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University of Turin
Italy

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