Geodesic
Direct Theorems on Approximation of Periodic Functions with High Generalized Smoothness
Matematičeskie zametki, Tome 113 (2023) no. 3, pp. 477-480.

Voir la notice de l'article provenant de la source Math-Net.Ru

Keywords: generalized derivative, Jackson inequality, best approximation, direct theorem of approximation theory. 
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N. V. Laktionova; K. V. Runovskii. Direct Theorems on Approximation of Periodic Functions with High Generalized Smoothness. Matematičeskie zametki, Tome 113 (2023) no. 3, pp. 477-480. http://geodesic.mathdoc.fr/item/MZM_2023_113_3_a15/

[1] A. I. Stepanets, Klassifikatsiya i priblizhenie periodicheskikh funktsii, Naukova dumka, Kiev, 1987 | MR

[2] D. Jackson, Über die Genauigkeit der Annäheurung stetiger Funktionen durch ganze rationale Funktionen gegebenen Grades und trigonometrischen Summen gegebener Ordnung, Thesis, Göttingen, 1911

[3] P. L. Butzer, H. Dyckhoff, E. Görlich, R. L. Stens, Canad. J. Math., 29:4 (1977), 781–793 | DOI | MR

[4] S. B. Stechkin, Izv. AN SSSR. Ser. matem., 15:3 (1951), 219–242 | MR | Zbl

[5] A. A. Konyushkov, Matem. sb., 44:1 (1958), 53–84 | MR

[6] B. V. Simonov, S. Yu. Tikhonov, Matem. sb., 199:9 (2008), 107–148 | DOI | MR | Zbl

[7] K. V. Runovskii, Matem. zametki, 106:3 (2019), 436–449 | DOI | MR

[8] K. V. Runovskii, Matem. sb., 212:2 (2020), 106–137

[9] V., I. Rukasov, S. O. Chaichenko, Ukr. matem. zhurn., 54:5 (2002), 681–691 | MR