Renormalization Scheme Consistent, Inlcuding Leading $ln (1/x)$ Terms, Structure Functions

We present calculations of structure functions using a renormalization scheme consistent expansion which is leading order in both $ln(1/x)$ and $\alpha_s(Q^2)$. There is no factorization scheme dependence, and the ``physical anomalous dimensions'' of Catani naturally appear. A relationship between the small $x$ forms of the inputs $F_2(x,Q_0^2)$ and $F_L(x,Q_0^2)$ is predicted. Analysis of a very wide range of data for $F_2(x,Q^2)$ is performed, and a very good global fit obtained. The prediction for $F_L(x,Q^2)$ produced using this method is smaller than the usual NLO in $\alpha_s(Q^2)$ predictions for $F_L(x,Q^2)$, and different in shape.