On a new functional transform in analysis: The maximum transform
نویسندگان
چکیده
منابع مشابه
On a New Functional Transform in Analysis: the Maximum Transform by Richard Bellman and William Karush
(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...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1961
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1961-10657-5