M. K. Potapov, B. V. Simonov, “Inequalities refining relationships between mixed moduli of smoothness in $L_1$- and $L_q$-metrics”, Russian Math. (Iz. VUZ), 66:2 (2022), 36–52
M. K. Potapov, B. V. Simonov, “Refinement of the relations between mixed smoothness moduli in $L_1$ and $L_q$ metrics”, Siberian Math. J., 62:4 (2021), 661–677
M. K. Potapov, B. V. Simonov, “Estimates of partial smoothness moduli in metrics $L_{p_1 \infty}$ and $L_{\infty p_2}$ by partial smoothness moduli in the metrics $L_{p_1 p_2}$”, Moscow University Mathematics Bulletin, 75:1 (2020), 1–15