APPROXIMATION OF m-CONVEX FUNCTIONS INFINITELY SMOOTH FUNCTIONS
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...
Actual problems of Mathematics, Physics and Mecanics / 2026 / April
Rasulbek Sharipov, Mukhiddin Ismailov
Volume 10 | Issue 3