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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 1974 Volume 15, Issue 3, Pages 387–392 (Mi mzm7359)

This article is cited in 4 papers

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

V. I. Ruban

Dnepropetrovsk State University

Abstract: 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 $d_{2n}(W^{(r)}H_\omega)$ ($n=1,2,\dots$; $r=0,1,2,\dots$).

UDC: 517.5

Received: 29.05.1973


 English version:
Mathematical Notes, 1974, 15:3, 222–225

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