Rev. Unión Mat. Argent.  vol.49 issue2; Abstract: S0041-69322008000200009

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Revista de la Unión Matemática Argentina

On-line version ISSN 1669-9637


YANZON, Norma  and  ZO, Felipe. Best Local Approximations by Abstract Norms with Non-homogeneous Dilations. Rev. Unión Mat. Argent. [online]. 2008, vol.49, n.2, pp. 81-96. ISSN 1669-9637.

We introduce a concept of best local approximation using abstract norms and non-homogeneous dilations. The asymptotic behavior of the normalized error function as well as the limit of some net of best approximation polynomials as are studied.

Keywords : Best local approximations; function norms; non-homogeneous dilations.

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