  We consider a type of k-inflation under the Hamilton-Jacobi approach. We
calculate various observables such as the scalar power spectrum, the
tensor-to-scalar ratio, the scalar spectra index for the case where the Hubble
parameter is a power-law function of k-field. The model's parameters are
constrained with Planck data and the concrete form of the potential is
presented. The results show that the model can be in good agreement with
observations.
