Diameters of classes of continuous functions in the Lp space |
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Authors: | N P Korneichuk |
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Institution: | (1) Dnepropetrovsk State University, USSR |
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Abstract: | In the Lp(a, b) space the exact values of n-diameters (n=1, 2, ...) are found of the class Ha, b] of the functions f(x) such that ¦f(x)-f(x)¦ (¦x-x¦), where (t) is a given continuity module which is convex upwards.Translated from Matematicheskie Zametki, Vol. 10, No. 5, pp. 493–500, November, 1971. |
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