Order of $(C,\alpha)$-approximations on certain classes of periodic functions
Matematičeskie zametki, Tome 15 (1974) no. 1, pp. 15-20
Voir la notice de l'article provenant de la source Math-Net.Ru
In the spaces $L_{2\pi}$ and $C_{2\pi}$, the orders of upper bounds for the deviations of a function and its conjugate from the Cesaro means of their Fourier series are obtained on a class of functions with a given majorant of their k-th modulus of smoothness.
@article{MZM_1974_15_1_a1,
author = {V. \`E. Gheit},
title = {Order of $(C,\alpha)$-approximations on certain classes of periodic functions},
journal = {Matemati\v{c}eskie zametki},
pages = {15--20},
publisher = {mathdoc},
volume = {15},
number = {1},
year = {1974},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1974_15_1_a1/}
}
V. È. Gheit. Order of $(C,\alpha)$-approximations on certain classes of periodic functions. Matematičeskie zametki, Tome 15 (1974) no. 1, pp. 15-20. http://geodesic.mathdoc.fr/item/MZM_1974_15_1_a1/