Llavona, José G.
(2006)
*Approximation methods by regular functions.*
Mediterranean Journal of Mathematics , 3
(2 ).
259-271 .
ISSN 1660-5446

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## Abstract

This paper is a survey of approximation results and methods by smooth functions in Banach spaces. The topics considered in the paper are the following: approximation by polynomials by C-k-functions using the method of smooth partitions of unity, approximation by the fine topology, analytic approximation and regularization in Banach spaces using the infimal convolution method.

Item Type: | Article |
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Uncontrolled Keywords: | Approximation; Differentiability; Polynomials; Banach-spaces; Differentiable functions; Manifolds; Algebras |

Subjects: | Sciences > Mathematics > Functional analysis and Operator theory |

ID Code: | 15946 |

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Last Modified: | 06 Feb 2014 10:35 |

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