Fractional versions of Hadamard-type inequalities for strongly exponentially \((\alpha, h - m)\)-convex functions (Q2666410)

Summary: In this article, we prove some fractional versions of Hadamard-type inequalities for strongly exponentially \((\alpha, h - m)\)-convex functions via generalized Riemann-Liouville fractional integrals. The outcomes of this paper provide inequalities of strongly convex, strongly \(m\)-convex, strongly \(s\)-convex, strongly \((\alpha, m)\)-convex, strongly \((s, m)\)-convex, strongly \((h - m)\)-convex, strongly \((\alpha, h - m)\)-convex, strongly exponentially convex, strongly exponentially \(m\)-convex, strongly exponentially \(s\)-convex, strongly exponentially \((s, m)\)-convex, strongly exponentially \((h - m)\)-convex, and exponentially \((\alpha, h - m)\)-convex functions. The error estimations are also studied by applying two fractional integral identities.