Convexity in fractional h-discrete calculus

Abstract

. In this paper, we consider a time scale h N a , where a ∈ R and h ∈ R + . The fractional h -difference operator is de fi ned in the sense of Riemann–Liouville with the forward difference operator Δ . First, we discuss monotonicity concept via fractional h -difference operators for the functions de fi ned on h N a . Second, we obtain some criteria to have the functions be ν -convex.