  We propose a new method to evaluate the effective potential in the path
integral for the fixed-energy amplitude as well as for the pseudotime evolution
kernel in the formalism by Duru and Kleinert. Restriction to the postpoint or
the prepoint prescriptions in formulating time sliced path integrals is avoided
by leaving off the use of expectation values for correction terms. This enables
us to consider an arbitrary ordering prescription and to examine the ordering
dependence of the effective potential. To investigate parameter dependences, we
introduce the ordering parameter $\alpha$ in addition to the splitting
parameter $\lambda$ in the formulation of the time sliced path integral. The
resulting path integrals are found to be independent of the ordering parameter
although the explicit dependence, given by a contribution proportional to
$(1-2\lambda)^{2}$, on the splitting parameter remains. As an application, we
check the relationship between path integrals for the radial oscillator and the
radial Coulomb system in arbitrary dimensions.
