In the article, we provide a sufficient condition for value range of the constant c such that the function x -> K-a(root x)/ log(c/root 1-x) is strictly concave on (0,1) for a is an element of (0,1/2], which generalize a very recently obtained result that the function x -> K (root x)/ log(c/root 1-x) is strictly concave on (0,1) if and only if c = e(4/3). As applications, we present new bounds for K-a(x), K-a(root 1-x(2))/K-a(root x) and K-a(root 1-x(2))K-a(root x), where K-a(x) is the generaliz...
