Approximation by matrix transform of Vilenkin—Fourier series

In the present paper, we discuss the rate of the approximation by matrix transform of Vilenkin—Fourier series in $L^p$ spaces ($1\leq p＜\infty$) and in $C$. Moreover, we give an application for functions in Lipschitz classes $\operatorname{Lip}(\alpha,p,G_m)$ ($\alpha＞0, 1\!\leq \!p \!＜\!\infty$) and $\operatorname{Lip}(\alpha,C(G_m))$ $(\alpha＞0)$.