On the points of local uniform rotundity and weak local uniform rotundity in Musielak-Orlicz sequence spaces equipped with the Orlicz norm

In this paper, a criterion for locally uniformly rotund points and weakly locally uniformly rotund points in Musielak-Orlicz sequence spaces equipped with the Orlicz norm is given. As a corollary, we get the criterion in order that Musielak-Orlicz sequence spaces equipped with the Orlicz norm are locally uniformly rotund and weakly locally uniformly rotund.