Llavona, José G. (2006) Approximation methods by regular functions. Mediterranean Journal of Mathematics , 3 (2 ). 259-271 . ISSN 1660-5446
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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.
|Uncontrolled Keywords:||Approximation; Differentiability; Polynomials; Banach-spaces; Differentiable functions; Manifolds; Algebras|
|Subjects:||Sciences > Mathematics > Functional analysis and Operator theory|
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|Deposited On:||13 Jul 2012 07:18|
|Last Modified:||06 Feb 2014 10:35|
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