A new relation for the density parameter Q is derived as a function of expansion velocity v based on Carmeli's cosmology. This density function is used in the luminosity distance relation D-L. A heretofore neglected source luminosity correction factor (1 - (v/c)(2))(-1/2) is now included in DL. These relations are used to fit type la supernovae (SNe Ia) data, giving consistent, well-behaved fits over a broad range of redshift 0.1 < z < 2. The best fit to the data for the local density parameter is Omega(m) = 0.0401 +/- 0.0199. Because Omega(m) is within the baryonic budget there is no need for any dark matter to account for the SNe la redshift luminosity data. From this local density it is determined that the redshift where the universe expansion transitions from deceleration to acceleration is z(t) = 1.095(-0.155)(+0.264). Because the fitted data covers the range of the predicted transition redshift z(t), there is no need for any dark energy to account for the expansion rate transition. We conclude that the expansion is now accelerating and that the transition from a closed to an open universe occurred about 8.54 Gyr ago.