Abstract
For a certain class of complex-valued functionsf(x), −∞ <x<∞, is found the best approximation
of a differential operator by linear operators A with the norm ∥A∥ CL2 ≤N,N,>0. Using the value uN, the smallest constant Q in the inequality
is found.
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Translated from Matematicheskie Zametki, Vol. 4, No. 2, pp. 233–238, August, 1968.
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Taikov, L.V. Kolmogorov-type inequalities and the best formulas for numerical differentiation. Mathematical Notes of the Academy of Sciences of the USSR 4, 631–634 (1968). https://doi.org/10.1007/BF01094964
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DOI: https://doi.org/10.1007/BF01094964