2 citations to https://www.mathnet.ru/eng/vmumm66
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M. K. Potapov, B. V. Simonov, “Refinement of Relations between Mixed Moduli of Smoothness in the Metrics of $L_p$ and $L_\infty$”, Math. Notes, 110:3 (2021), 347–362
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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