Let g1, g2, , gm be linear functionals on n For fixed numbers c1, c2, , cm, the system of inequalities gj(x) yen cj, j 1, 2, , m (31) is consistent for some x n if and only if implies that for every set of nonnegative numbers Icirc raquo 1, Icirc raquo 2, , Icirc raquo m

Question: Let g1, g2, ..., gm be linear functionals on n. For fixed numbers c1, c2,..., cm, the system of inequalities gj(x) ¥ cj, j =

Let g1, g2, ..., gm be linear functionals on „œn. For fixed numbers c1, c2,..., cm, the system of inequalities
gj(x) ‰¥ cj, j = 1, 2,..., m (31)
is consistent for some x ˆˆ „œn if and only if

implies that

for every set of nonnegative numbers Î»1, Î»2,..., Î»m.

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