Kolyada inequality between mixed smoothness moduli of functions in the metrics of $L_p$ and $L_\infty$
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2022), pp. 3-15 Cet article a éte moissonné depuis la source Math-Net.Ru

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Interrelations between mixed fractional moduli of smoothness considered in the $L_p$ and $L_\infty$ metrics are clarified in the paper.
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M. K. Potapov; B. V. Simonov. Kolyada inequality between mixed smoothness moduli of functions in the metrics of $L_p$ and $L_\infty$. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2022), pp. 3-15. http://geodesic.mathdoc.fr/item/VMUMM_2022_4_a0/

[1] Konyushkov A. A., “Nailuchshee priblizhenie trigonometricheskimi polinomami i koeffitsienty Fure”, Matem. sb., 44:86 (1958), 53–86 | MR

[2] Kolyada V. I., “O sootnosheniyakh mezhdu modulyami nepreryvnosti v raznykh metrikakh”, Tr. Matem. in-ta AN SSSR, 181, 1988, 117–135

[3] Potapov M. K., Simonov B. V., “Svyaz mezhdu modulyami gladkosti v metrikakh $L_p$ i $C$”, Vestn. Mosk. un-ta. Matem. Mekhan., 2015, no. 1, 3–15

[4] Besov O. V., Ilin V. P., Nikolskii S. M., Integralnye predstavleniya funktsii i teoremy vlozheniya, Nauka, M., 1975 | MR

[5] Potapov M. K., Berisha M., “Moduli gladkosti i koeffitsienty Fure periodicheskikh funktsii odnogo peremennogo”, Publ. Inst. math. (Beograd) (N.S.), 26 (1979), 215–228 | Zbl

[6] Potapov M. K., Simonov B. V., Tikhonov S. Yu., Drobnye moduli gladkosti, Maks Press, M., 2016