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

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.

Downloads

Additional Files

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

License

Authors who publish in this journal agree to the following terms: 

  1. Authors retain copyright and grant the journal the right of first publication, with the work simultaneously licensed under the Creative Commons Attribution License that allows the sharing of the work with acknowledgment of authorship and initial publication in this journal.

  2. Authors are authorized to assume additional contracts separately, for non-exclusive distribution of the version of the work published in this journal (eg, publish in an institutional repository or as a book chapter), with acknowledgment of authorship and initial publication in this journal.
     

  3. Authors are allowed and encouraged to publish and distribute their work online (eg, in institutional repositories or on their personal page) at any point before or during the editorial process, as this can generate productive changes as well as increase impact and the citation of the published work (See The effect of open access).

  4. This is an open access journal which means that all content is freely available without charge to the user or his/her institution. Users are allowed to read, download, copy, distribute, print, search, or link to the full texts of the articles, or use them for any other lawful purpose, without asking prior permission from the publisher or the
    author. This is in accordance with the BOAI definition of open access

 

Intellectual Property

All the contents of this journal, except where otherwise noted, is licensed under a Creative Commons Attribution License under attribution BY.