Weighted approximation of continuous positive functions

Marcia Sayuri Kashimoto

Abstract


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

References


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.




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

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Trends in Computational and Applied Mathematics

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