Author:
G. Grekos Université De St-Etienne 23, Rue Du Dr Paul Michelon F-42023 St-Etienne Cedex 2 France

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LetF be the set of bounded functions defined onR+, taking non negative rea values, and Lebesgue-integrable on every interval [0,t]. To each functiona inF we associate the ordered pairL(a) of the upper and lower limits of , ast tends to +∞. We characterize the set
\documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$S(a) = \{ L(b) \in R^2 ;b \in Fand\forall t \in R_ + ,b(t) \leqslant a(t)\}$$ \end{document}
as being a closed convex region ofR2.
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Periodica Mathematica Hungarica
Language English
Size B5
Year of
Foundation
1971
Volumes
per Year
2
Issues
per Year
4
Founder Bolyai János Matematikai Társulat - János Bolyai Mathematical Society
Founder's
Address
H-1055 Budapest, Hungary Falk Miksa u. 12.I/4.
Publisher Akadémiai Kiadó
Springer Nature Switzerland AG
Publisher's
Address
H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible
Publisher
Chief Executive Officer, Akadémiai Kiadó
ISSN 0031-5303 (Print)
ISSN 1588-2829 (Online)

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