An Upper Bound On The Total Inelastic Cross Section As A Function Of The Total Cross Section

Recently, Andre Martin has proved a rigorous upper bound on the inelastic cross section sigma(inel) at high energy, which is one-fourth of the known Froissart-Martin-Lukaszuk upper bound on sigma(tot). Here, we obtain an upper bound on sigma(inel) in terms of sigma(tot) and show that the Martin bound on sigma(inel) is improved significantly with this added information.