Weighted approximation of continuous positive functions

Authors

  • Marcia Sayuri Kashimoto Universidade Federal de Itajubá

DOI:

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

Abstract

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

Author Biography

Marcia Sayuri Kashimoto, Universidade Federal de Itajubá

Departamento de Matemática

Área: Teoria da Aproximação (Análise)

References

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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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Published

2013-07-05

How to Cite

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

Issue

Vol. 14 No. 2 (2013)

Section

Original Article

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