LAUSR

In this paper,  we prove Sherman like inequalities for convex sequences and nondecreasing convex functions. Thus we develop some results by S. Wu and L. Debnath \cite{WD}. In consequence, we derive discrete versions for convex sequences of Petrovic and Giaccardi's inequalities. As applications, we establish some generalizatons of Fejer inequality for convex sequences. We also study inequalities of Hermite-Hadamard type. Thus we extend some recent results of Latreuch and Belaidi \cite{LB1}. In our considerations we use some matrix methods based on column stochastic and doubly stochastic matrices.