Weighted approximation of continuous positive functions

Autores

  • Marcia Sayuri Kashimoto Universidade Federal de Itajubá

DOI:

https://doi.org/10.1590/S2179-84512013005000002

Resumo

We investigate the density of convex cones of continuous positive functions in weighted spaces and present some applications.

Biografia do Autor

Marcia Sayuri Kashimoto, Universidade Federal de Itajubá

Referências

R. C. Buck, Bounded continuous functions on a locally compact space. Michigan Math. J. 5 (1958), 95-104.

M. Chao-Lin, Sur l'approximation uniforme des fonctions continues, C. R. Acad. Sci. Paris Ser. 1. Math 301 (1985), 349-350.

D. Feyel and A. De La Pradelle, Sur certaines extensions du Theoreme d'Approximation de Berstein, Pacific J. Math. 115 (1984), 81-89.

L. Nachbin, " Elements of Approximation Theory", Van Nostrand, Princeton, NJ, 1967, reprinted by Krieger, Huntington, NY, 1976.

J. B. Prolla, "Approximation of Vector-Valued Functions", Mathematics Studies 25 North-Holland, Amsterdam, 1977.

J. B. Prolla, A generalized Berstein approximation theorem, Math. Proc. Camb. Phil. Soc. , 104 (1988), 317-330.

J. B. Prolla and M. S. Kashimoto, Simultaneous approximation and interpolation in weighted spaces, Rendi. Circ. Mat. di Palermo, Serie II - Tomo LI (2002), 485-494.

W. Rudin, "Real and Complex Analysis", McGraw-Hill, Singapore,Third Edition, 1987.

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Publicado

2013-07-05

Como Citar

Kashimoto, M. S. (2013). Weighted approximation of continuous positive functions. Trends in Computational and Applied Mathematics, 14(2), 187–191. https://doi.org/10.1590/S2179-84512013005000002

Edição

Seção

Artigo Original