The average optical-UV continuum shape of QSOs is investigated, using
spectra of 62 QSOs that have good relative photometric calibrations. T
he QSO spectra were extracted from two complete color-selected samples
in the magnitude interval m(B) approximate to 15-20. The analysis is
performed by fitting power-law continua f(v) proportional to v(alpha)
in well-defined rest-frame wavelength intervals after removing regions
of the spectrum affected by strong emission lines or weak emission bu
mps. The average slope in the rest-frame optical-UV region 1200-5500 A
ngstrom, shows a rapid change around the 3000 Angstrom emission bump,
with alpha similar or equal to 0.15 longward of it and alpha similar o
r equal to -0.65 at shorter wavelengths. Although these average slopes
were obtained using spectra of QSOs with different luminosities and r
edshifts, there are no significant correlations of the average spectra
l index with these quantities. For a few QSOs in the sample, we were a
ble to measure the same softening of the spectral shape within the ind
ividual spectrum. These results have significant consequences on the e
stimate of the cosmological evolution of the optically selected QSOs,
as they affect, for instance, the k-corrections. New k-corrections in
the BVR and Gunn I bands are computed. The derived average spectral sh
ape in the optical-UV band places interesting constraints on the expec
ted emission mechanisms.