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A formula on the subdifferential of the deconvolution of convex functions
Published online by Cambridge University Press: 17 April 2009
Abstract
It is known that, under suitable assumptions, the subdifferential ∂(f □ g) of the infimal convolution of two convex functions f and g coincides with the parallel sum of ∂ f and ∂ g. We prove that a similar formula holds for the subdifferential of the deconvolution of two convex functions: under appropriate hypothesis it coincides with the parallel star-difference of the sub-differentials of the functions.
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- Copyright © Australian Mathematical Society 1993
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