In this paper we establish the best lower bound for the weighted Jensen's discrete inequality with ordered variables applied to a convex function $f$, in the case when the bound depends on $f$, weights and three fixed variables. Some applications for particular cases of interest are provided.
Banach J. Math. Anal.
7(1):
116-131
(2013).
DOI: 10.15352/bjma/1358864553