Before revision:  For any hyper-parameters N\inN^+ and L\inN^+, it is shown that Floor-ReLU networks with a width \max\{d,\, 5N+13\} and a depth 64dL+3 can uniformly approximate a H \"o lder function f on [0,1]^d with an approximation rate 3\lambda d^{\alpha/2}N^{-\alphaL}, where \alpha \in(0,1] and \lambda are the H \"o lder order and constant, respectively.
After revision:  For any hyper-parameters N\inN^+ and L\inN^+, it is shown that Floor-ReLU networks with a width \max\{d,\, 5N+13\} and a depth 64dL+3 can uniformly approximate a H \"o lder function f on [0,1]^d with an approximation rate 3\lambda d^{\alpha/2}N^{-\alphaL}, where \alpha \in(0,1] and \lambda are the H  lder order and constant, respectively.