arXiv:1409.5081 Abstract | arXiv Analytics

arXiv:1409.5081 [math.FA]Abstract References Reviews Resources

The necessary and sufficient conditions for representing Lipschitz multivariable function as a difference of two convex functions

Published 2014-09-15Version 1

In the article the necessary and sufficient conditions for a representation of Lipschitz function of more than two variables as a difference of two convex functions are formulated. An algorithm of this representation is given. The outcome of this algorithm is a sequence of pairs of convex functions that converge uniformly to a pair of convex functions if the conditions of the formulated theorems are satisfied. A geometric interpretation is also given.

Comments: in Russian

Categories: math.FA

Keywords: convex functions, representing lipschitz multivariable function, sufficient conditions, difference, representation

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