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Translated from Matematicheskie Zametki, Vol. 44, No. 1, pp. 64–79, July, 1988.
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Ivanov, V.I. Approximation in Lp by means of piecewise-constant functions. Mathematical Notes of the Academy of Sciences of the USSR 44, 523–532 (1988). https://doi.org/10.1007/BF01158118
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DOI: https://doi.org/10.1007/BF01158118