Strongly convex matrix functions

In this article, we study strongly convex matrix functions and the strong Davis-Sherman condition to see their relations, corresponding to those of strongly operator-convex functions in Brown (Can J Math 40:865–988, 1988; Ann Funct Anal 9:41–55, 2018)and in Brown and Uchiyama(Linear Algebra Appl) Linear Algebra Appl 553:238–251, 2018).