Estimates for the rate of convergence of Fourier series in the Sobolev orthogonal functional system generated by the Walsh system

For functions from the Sobolev spaces $W^r_{L^p}$, we obtain several estimates for the rate of approximation by partial sums of Fourier series in Sobolev-type system generated by Walsh system: pointwise estimates; uniform estimates in terms of the integral modulus of continuity for the derivative; estimates in the metric of the Sobolev space $W^r_{L^p}$ in terms of the best approximations.