Abstract
In this article, we give non-trivial examples of coordinate s-convex functions which are not s-convex functions. Also, we present a new class of coordinate strongly s-convex functions. We prove that every strongly s-convex function is coordinate strongly s-convex function but the converse is not generally true. Furthermore, we establish Jensen type inequality for strongly s-convex functions. We present Jensen and Hermite-Hadamard type inequalities for coordinate strongly s-convex functions.