  The quasi-relativistic harmonic oscillator bound states constructed by Znojil
(J. Phys. A: Math. Gen. 29 (1999)2905) are investigated via a new methodical
proposal. Compared with those obtained by an anonymous referee (from a direct
numerical integration method)of Znojil's paper, our results appear to be more
favourable than those obtained by Znojil via quasi-perturbation, variational,
Hill-determinant and Riccati-Pade' methods. Bound states with larger angular
momenta l, are also constructed.
