Anderson’s inequality on time scales

We establish Anderson’s inequality on time scales as follows: ∫01(∏i=1nfiσ(t))Δt≥(∫01(t+σ(t))nΔt)(∏i=1n∫01fi(t)Δt)≥(2n∫01tnΔt)(∏i=1n∫01fi(t)Δt) if fi(i=1,…,n) satisfy some suitable conditions.