Transactions of the American Mathematical Society, Vol. 361, No. 4 (Apr., 2009), pp. 1765-1790 (26 pages) We provide two methods for constructing smooth bump functions and for smoothly cutting off ...
A function is a rule that is applied to one set of values to give another set of values. A function can be illustrated on a graph – points are plotted as coordinates and joined by either a straight ...
A procedure is described for smoothing a convex function which not only preserves its convexity, but also, under suitable conditions, leaves the function unchanged over nearly all the regions where it ...
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