In this paper, we investigate the approximation of 𝑚-convex functions using the relationship between 𝑚-convex functions and 𝑚-subharmonic functions in the complex space ℂ. The main result is a theorem establishing that any 𝑢(𝑥) 𝑚-convex function defined on a domain 𝐷 ⊂ℝ௡ can be approximated by a sequence of infinitely smooth, monotonically decreasing 𝑚-convex functions. The approximation is obtained by passing to the corresponding 𝑚 -subharmonic function and applying the standard kernel. Furthermore, we give an example of an 𝑚-conv.