  We solve the generalized relativistic harmonic oscillator in 1+1 dimensions
in the presence of a minimal length. Using the momentum space representation,
we explore all the possible signs of the potentials and discuss their
bound-state solutions for fermion and antifermions. Furthermore, we also find
an isolated solution from the Sturm-Liouville scheme. All cases already
analyzed in the literature, are obtained as particular cases.
