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The Jackson theorem inL 2 for Christenson-Levy systems

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References

  1. G. N. Agaev, N. Ya. Vilenkin, and G. M. Dzhafarli, Multiplicative Systems of Functions and the Harmonic Analysis on the Zero-Dimensional Groups [in Russian], ELM, Baku (1981).

    Google Scholar 

  2. N. I. Chernykh, “On the Jackson inequality in L2,” Trudy MIAN SSSR,88, 71–74 (1967).

    Google Scholar 

  3. V. V. Arestov and N. I. Chernykh, “On the L2, approximation of periodic functions by trigonometric polynomials. Approximation and function spaces,” Proc. Conf. Gdansk. North-Holland, Amsterdam (1979), pp. 25–43.

    Google Scholar 

  4. A. G. Babenko, “On the Jackson theorem in L2,” Mat. Zametki,42, No. 3, 324–335 (1987).

    Google Scholar 

  5. V. I. Ivanov, “On the Jackson theorem in L2 for the Christenson-Levy systems,” All-Union School on the Theory of Functions. Abstract of Lectures. Erevan (1987), pp. 43–44.

  6. V. I. Ivanov, “On the Jackson theorem in L2 for the Preis systems,” Mat. Zametki,53, No. 3 (1993).

    Google Scholar 

  7. N. Ya. Vilenkin and A. I. Rubinshtein, “The theorem of S. B. Stechkin on the absolute convergence and series with respect to systems of characters of zero dimensional Abelian groups,“ Izv. Vyssh. Uchebn. Zaved., Mat., No. 9, 3–9 (1975).

    Google Scholar 

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Authors and Affiliations

  1. Tula Polytechnical Institute, USSR

    O. I. Smirnov

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  1. O. I. Smirnov
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Translated from Matematicheskie Zametki, Vol., 53, No. 4, pp. 111–130, April, 1993.

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Smirnov, O.I. The Jackson theorem inL 2 for Christenson-Levy systems. Math Notes 53, 430–442 (1993). https://doi.org/10.1007/BF01210227

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