On some open problems in convex analysis (Q1325232)

By using the same approach as in a previous paper [An. Stiint. Univ. Al. I. Cuza Iasi, N. Ser., Sect. Ia 29, No. 3, Suppl., 15-34 (1983; Zbl 0536.90073)] we obtain the validity of several formulae for conjugate functions for cs-closed and cs-complete functions, which are more general than lower semi-continuous convex functions, under a weaker interiority condition. In this manner we answer to some problems raised by \textit{B. Rodrigues} and \textit{S. Simons} [Nonlinear Anal., Theory Methods Appl. 12, No. 10, 1069-1078 (1988; Zbl 0679.49016)].