Even diameters of the classes W(r)H
ω
in the space C2π |
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Authors: | V I Ruban |
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Institution: | (1) Dnepropetrovsk State University, USSR |
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Abstract: | For even values of n we find the exact values of the diameters dn(W(r)H ) of the classes of 2 -periodic functions ( (t) is an arbitrary convex upwards modulus of continuity) in the space C2 . We find that d2n(W(r)H )=d2n–1(W(r)H ) (n=1, 2, ... r=0, 1, 2, ...).Translated from Matematicheskie Zametki, Vol. 15, No. 3, pp. 387–392, March, 1974.The author expresses his thanks to N. P. Korneichuk for his interest in my work. |
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