Abstract
For the best approximating operator, a criterion is established, equivalent to the well known Kolmogorov theorem, which characterizes the best approximation element. The practical use of this criterion is illustrated by examples.
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 1, pp. 114–119, January, 1993.
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Tyrygin, I.Y. A Kolmogorov type criterion for the best approximating operator. Ukr Math J 45, 126–131 (1993). https://doi.org/10.1007/BF01062045
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DOI: https://doi.org/10.1007/BF01062045