Even diameters of the classes $W^{(r)}H_\omega$ in the space $C_2\pi$

V. I. Ruban

Geodesic

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Even diameters of the classes $W^{(r)}H_\omega$ in the space $C_2\pi$

V. I. Ruban

Matematičeskie zametki, Tome 15 (1974) no. 3, pp. 387-392.

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Résumé

For even values of $n$ we find the exact values of the diameters $d_n(W^{(r)}H_\omega)$ of the classes of $2\pi$-periodic functions $W^{(r)}H_\omega$ ($\omega(t)$ is an arbitrary convex upwards modulus of continuity) in the space $C_2\pi$. We find that $d_{2n}(W^{(r)}H_\omega)$ ($n=1,2,\dots$; $r=0,1,2,\dots$).

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@article{MZM_1974_15_3_a4,
     author = {V. I. Ruban},
     title = {Even diameters of the classes $W^{(r)}H_\omega$ in the space $C_2\pi$},
     journal = {Matemati\v{c}eskie zametki},
     pages = {387--392},
     publisher = {mathdoc},
     volume = {15},
     number = {3},
     year = {1974},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1974_15_3_a4/}
}

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EP  - 392
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V. I. Ruban. Even diameters of the classes $W^{(r)}H_\omega$ in the space $C_2\pi$. Matematičeskie zametki, Tome 15 (1974) no. 3, pp. 387-392. http://geodesic.mathdoc.fr/item/MZM_1974_15_3_a4/