Interpolation and approximation from sublattices of C₀(X; R)

Authors

DOI:

https://doi.org/10.22199/issn.0717-6279-2019-03-0025

Keywords:

Bonsall, Lattices, Interpolation, Approximation

Abstract

In this paper, we give a proof of a result concerning simultaneous interpolation and approximation from sublattices of the space of real continuous functions vanishing at infinity.

Author Biography

Marcia S. Kashimoto, Universidade Federal de Itajubá.

Instituto de Matemática e Computação – IMC.

References

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F. Bonsall, "Semi-Algebras of Continuous Functions", Proceedings of the London Mathematical Society, vol. s3-10, no.1, pp. 122-140, 1960, doi: 10.1112/plms/s3-10.1.122.

F. Deutsch, "Simultaneous Interpolation and Approximation in Topological Linear Spaces", SIAM Journal on Applied Mathematics, vol. 14, no. 5, pp. 1180-1190, 1966, doi: 10.1137/0114095.

W. Rudin, Real and complex analysis, 3rd ed. Singapore: McGraw-Hill, 1987.

G. Simmons, Introduction to topology and modern analysis. New York: McGraw-Hill, 1963.

H. Wu, "New Stone-Weierstrass Theorem", Advances in Pure Mathematics, vol. 06, no. 13, pp. 943-947, 2016, doi: 10.4236/apm.2016.613071.

Published

2019-08-02

How to Cite

[1]
M. S. Kashimoto, “Interpolation and approximation from sublattices of C₀(X; R)”, Proyecciones (Antofagasta, On line), vol. 38, no. 3, pp. 395-400, Aug. 2019.

Issue

Section

Artículos