The Hausdorff entropic moment problem
نویسندگان
چکیده
Our aim in this paper is twofold. First, to find the necessary and sufficient conditions to be satisfied by a given sequence of real numbers $vn%n50 ` to represent the ‘‘entropic moments’’ * [0,a]@r(x)# dx of an unknown non-negative, decreasing and differentiable ~a.e.! density function r(x) with a finite interval support. These moments are called entropic moments because they are closely connected with various information entropies ~Renyi, Tsallis, . . . !. Second, we outline an efficient method for the reconstruction of the density function from the knowledge of its first N entropic moments. © 2001 American Institute of Physics. @DOI: 10.1063/1.1360711#
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تاریخ انتشار 2001