An L1 Minimization Problem by Generalized Rational Functions
Year: 1983
Journal of Computational Mathematics, Vol. 1 (1983), Iss. 3 : pp. 243–246
Abstract
Let P,Q⊂L1(X,Σ,μ) and q(x)>0 a. e. in X for all q∈Q. Define R={p/q:p∈P,q∈Q}. In this paper we discuss an L1 minimization problem of a nonnegative function E(z,x), i.e. we wish to find a minimum of the functional ϕ(r)=∫XqE(r,x)dμ form r=p/q∈R. For such a problem we have established the complete characterizations of its minimum and of uniqueness of its minimum, when both P,Q are arbitrary convex subsets.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1983-JCM-9700
Journal of Computational Mathematics, Vol. 1 (1983), Iss. 3 : pp. 243–246
Published online: 1983-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 4