This paper establishes a mean convergence theorem for triangular arrays of rowwise and pairwise mn-dependent random variables. Some authors studied limit theorems for sequences of pairwise m-dependent random variables where m is fixed (see, e.g., Quang and Nguyen [Applications of Mathematics, 2016] and Thanh [Bulletin of the Institute of Mathematics Academia Sinica,2005]). In this paper, we establish a limit theorem for triangulararrays of rowwise and pairwise mn-dependent random variables,
where mn may approach infinity as n → ∞. The main theorem extends some results in the literature, including Theorem 3.1 of Chen, Bai and Sun