Abstract
This paper contains the magnitude of the best approximation in the L2-sense of a k-th order differentiation operator of a bounded linear operator A(f) which acts on the class of functions which are differentiable n times.
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Translated from Matematicheskie Zametki, Vol. 3, No. 2, pp. 157–164, February, 1968.
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Subbotin, Y.N., Taikov, L.V. Best approximation of a differentiation operator in L2-space. Mathematical Notes of the Academy of Sciences of the USSR 3, 100–105 (1968). https://doi.org/10.1007/BF01094328
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DOI: https://doi.org/10.1007/BF01094328