This paper deals with the applications of an optimization method on
submanifolds, that is, geometric inequalities can be considered as optimization
problems. In this regard, we obtain optimal Casorati inequalities and
Chen-Ricci inequality for a statistical submanifold in a statistical warped
product manifold of type R×f​M
(almost Kenmotsu statistical manifold), where R and M
are trivial statistical manifold and almost Kaehler statistical manifold,
respectively.Comment: No nee