%0 Journal Article %A Llavona, José G. %T Approximation methods by regular functions %D 2006 %@ 1660-5446 %U https://hdl.handle.net/20.500.14352/50053 %X 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. %~