On the best approximation of the differentiation operator on the half-line |
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Authors: | V. N. Gabushin |
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Affiliation: | (1) Sverdlovsk Division, V. A. Steklov Mathematical Institute, Academy of Sciences of the USSR, USSR |
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Abstract: | We solve a problem of S. B. Stechkin concerning the best approximation in the metric of C to the operator of k-th order differentiation on certain classes of differentiable functions defined on the half-line, by linear operators whose norms from L2 into C are bounded. We consider the analogous problem for linear differential operators with constant coefficients. The bibliography contains 10 items.Translated from Matematicheskie Zametki, Vol. 6, No. 5, pp. 573–582, November, 1969. |
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