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Literature cited

  1. K. I. Oskolkov, “On the Lebesgue inequality in the uniform metric and on a set of full measure,” Mat. Zametki,18, No. 4, 515–526 (1975).

    Google Scholar 

  2. H. Lebesgue, “Sur la représentation trigonometrique approchée des fonctions satisfaisant a une condition de Lipschitz,” Bull. Soc. Math. France,38, 184–210 (1910).

    Google Scholar 

  3. S. B. Stechkin [S. B. Stečkin], “On the approximation of periodic functions by de la Vallée-Poussin sums,” Anal. Math.,4, 61–74 (1978).

    Google Scholar 

  4. S. B. Stechkin, “On the approximation of periodic functions by the Féjer sums,” Tr. Mat. Inst. Akad. Nauk SSSR,62, 48–60 (1961).

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  5. A. Zygmund, Trigonometric Series, Vol. 1, Cambridge Univ. Press, Cambridge (1959).

    Google Scholar 

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Translated from Matematicheskie Zametki, Vol. 25, No. 4, pp. 551–555, April, 1979.

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Oskolkov, K.I. Lebesgue inequality in the mean. Mathematical Notes of the Academy of Sciences of the USSR 25, 286–288 (1979). https://doi.org/10.1007/BF01688480

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  • DOI: https://doi.org/10.1007/BF01688480

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