We developed an inhomogeneous integral equation theory yielding the inhomogeneous pair correlation functions as well as the density profiles of the liquid-vapor interface of simple fluid. We analytically derived the long-range asymptotics of the inhomogeneous pair distribution along the interface, related to capillary waves. We showed that their physical nature is the same as long-range fluctuations of critical fluid which are restricted to the two-dimensional interfacial region by the external field shaping the interface. (C) 2004 Elsevier B.V. All rights reserved.