Weierstrass' theorem with weights

Authors:
Ana Portilla;Yamilet Quintana;José M. Rodríguez;Eva Tourís
Affiliations:
Departamento de Matemáticas, Escuela Politécnica Superior, Universidad Carlos III de Madrid, Avenida de la Universidad, 30 28911 Leganés, Madrid, Spain;Escuela de Matemáticas, Facultad de Ciencias, Apartado Postal: 20513, Caracas 1020 A. Universidad Central de Venezuela, Avenida Los Ilustres, Los Chaguaramos, Caracas, Venezuela;Departamento de Matemáticas, Escuela Politécnica Superior, Universidad Carlos III de Madrid, Avenida de la Universidad, 30 28911 Leganés, Madrid, Spain;Departamento de Matemáticas, Escuela Politécnica Superior, Universidad Carlos III de Madrid, Avenida de la Universidad, 30 28911 Leganés, Madrid, Spain
Venue:
Journal of Approximation Theory
Year:
2004

Citing 6
Cited 1

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Abstract

We characterize the set of functions which can be approximated by continuous functions in the L∞ norm with respect to almost every weight. This allows to characterize the set of functions which can be approximated by polynomials or by smooth functions for a wide range of weights.