Thanks Hurkyl. It was even easier than that since I had already proved the Minkowski inequality, so I just had to recognize that I could apply that here. However, It was your comment that led me to recognize this. Thank You!
Hello everyone.
I read in a book that for metric spaces (X, \rho), (Y, \sigma) we can form the metric space (X \times Y, \tau_p) , for 1 \leq p < \infty where \tau_p is given by:
\tau_p((x_1,y_1), (x_2,y_2)) = (\rho(x_1,x_2)^p + \sigma(y_1,y_2)^p)^\frac{1}{p}
I can easily verify the...