@Article{JCM-1-243,
author = {Ying-Guang Shi},
title = {An $L_1$ Minimization Problem by Generalized Rational Functions},
journal = {Journal of Computational Mathematics},
year = {1983},
volume = {1},
number = {3},
pages = {243--246},
abstract = {<p style="text-align: justify;">Let $P,Q \subset L_1(X,\Sigma,\mu)$ and $q(x)&gt;0$ a. e. in $X$ for all $q\in Q$. Define $R=\{p/q:p\in P,q\in Q\}$. In this paper we discuss an $L_1$ minimization problem of a nonnegative function $E(z,x)$, i.e. we wish to find a minimum of the functional $\phi(r)=\int _X qE(r,x)d\mu$ form $r=p/q\in R$. 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.</p>},
issn = {1991-7139},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jcm/9700.html}
}