  We examine stochastic temperature fluctuations of the cosmic background
radiation (CBR) arising via the Sachs-Wolfe effect from gravitational wave
perturbations produced in the early universe. These temperature fluctuations
are described by an angular correlation function $C(\gamma)$. A new (more
concise and general) derivation of $C(\gamma)$ is given, and evaluated for
inflationary-universe cosmologies. This yields standard results for angles
$\gamma$ greater than a few degrees, but new results for smaller angles,
because we do not make standard long-wavelength approximations to the
gravitational wave mode functions. The function $C(\gamma)$ may be expanded in
a series of Legendre polynomials; we use numerical methods to compare the
coefficients of the resulting expansion in our exact calculation with standard
(approximate) results. We also report some progress towards finding a closed
form expression for $C(\gamma)$.
