  In this study, gravitational waveforms emitted by inspiralling compact binary
systems on quasicircular orbits in hybrid metric-Palatini gravity are computed
in the lowest post-Newtonian approximation. By applying the stationary phase
approximation, Fourier transforms of tensor polarization modes are obtained,
and correction terms in the amplitude and phase of gravitational waves relative
to General Relativity results are derived. Moreover, post-Einsteinian
parameters are identified, and potential constraints on the background value of
the scalar field are obtained based on possible observations of the
gravitational waves by the future ground based gravitational wave detectors.
Additionally, constraints on the background value of the scalar field are
derived using updated observational data from the PSR J0737-3039 system. The
last rescrictions are comparable in order of magnitude to the best currently
existing constraints, which were derived from observational data within the
solar system.
