Approximate renormalization-group calculations of critical exponents in continuous dimensions

The Kadanoff lower-bound renormalization transformation is used to obtain approximate values of the critical exponents for the spin-1/2 Ising model on a simple hypercubic $d$-dimensional lattice for all integral values of $z=2^d$ between 3 and 16. The results for $\gamma , \delta$, and the thermal and magnetic correction to scaling exponents are compared with corresponding results obtained from the $\epsilon$ expansion and series calculations.