\(N\)-tuple diamond-alpha integral and inequalities on time scales (Q2317561)

The authors have utilized the concept of diamond integral -- a concept introduced to combine the continuous and discrete concepts of an integral on time scales. They have introduced an \(N\)-tuple diamond -- the alpha integral for a function of \(N\)-variables defined on a time scale. Further, they established Jensen, Holder, Minkowski, Beckenbach and Lyapunov type inequalities in this set up.