Inequalities refining relationships between mixed moduli of smoothness in $L_1$- and $L_q$-metrics
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2022), pp. 43-61

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Some refinements for some relations between mixed moduli of smoothness of fractional orders considered in metrics of $L_1$ and $L_q$ are obtained in the article.
Keywords: inequality, metrics, mixed fractional moduli of smoothness.
@article{IVM_2022_2_a3,
     author = {M. K. Potapov and B. V. Simonov},
     title = {Inequalities refining relationships between mixed moduli of smoothness in $L_1$- and $L_q$-metrics},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {43--61},
     publisher = {mathdoc},
     number = {2},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2022_2_a3/}
}
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M. K. Potapov; B. V. Simonov. Inequalities refining relationships between mixed moduli of smoothness in $L_1$- and $L_q$-metrics. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2022), pp. 43-61. http://geodesic.mathdoc.fr/item/IVM_2022_2_a3/