On a New Functional Transform in Analysis: the Maximum Transform by Richard Bellman and William Karush
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چکیده
(1) F(xu x2, • • • , xN) = fi(xi) + f2(x2) + +/N(XN) over the region R defined by xi+x2 + • • • +XN = X> x^O. Under various assumptions concerning the ƒ», this problem can be studied analytically; cf. Karush [ l ; 2] , and it can also be treated analytically by means of the theory of dynamic programming [3]. I t is natural in this connection to introduce a "convolution" of two functions ƒ and g, h = ƒ * g, defined by
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تاریخ انتشار 2007