Exact bounds for norms of differentiable periodic functions in L metric |
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Authors: | Korneichuk N P |
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Institution: | (1) Dnepropetrovsk State University, USSR |
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Abstract: | Exact values are obtained for the upper bounds on the norms,fL, on the classes W
(r)
H(r =0, 1, 2,...) of r-fold differentiable functions f(x), of periodicity2, for which (f(r);t)(t),where (t) is a given convex modulus of continuity.Translated from Matematicheskie Zametki, Vol. 2, No. 6, pp. 569–576, December, 1967. |
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