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On Jackson's theorem in L2 for price systems

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Literature cited

  1. G. N. Agaev, N. Ya. Vilenkin, G. M. Dzhafarli, and A. I. Ruhinshtein, Multiplicative Systems of Functions and Harmonie Analysis on Zero-Dimensional Groups [in Russian], ÉLM, Baku (1981).

    Google Scholar 

  2. N. Ya. Vilenkin and A. I. Rubinshtein, “On a theorem of S. B. Stechkin on absolute convergence, and series in systems of characters of zero-dimensional Abelian groups,” Izv. Vyssh. Uchebn. Zaved., Mat., No. 9, 3–9 (1975).

    Google Scholar 

  3. N. I. Chernykh, “On Jackson's inequality in L2,” Trudy Mat. Inst. Akad. Nauk SSSR,88, 71–74 (1967).

    Google Scholar 

  4. V. V. Arestov and N. I. Chernykh, “On the L2-approximation of periodic functions by trigonometric polynomials,” in: Approximation and Function Spaces (Gdansk, 1979), North-Holland, Amsterdam (1981), pp. 25–43.

    Google Scholar 

  5. L. V. Taikov, “Inequalities containing best approximations, and the modulus of continuity of functions in L2,” Mat. Zametki,20, No. 3, 433–438 (1976).

    Google Scholar 

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

    Google Scholar 

  7. V. I. Ivanov, “On Jackson's theorem in L2 for Chrestenson-Levi systems,” in: All-Union School on Function Theory. Abstracts of Reports [in Russian], Erevan (1987), pp. 43–44.

  8. V. I. Ivanov, “On Jackson's theorem in L2 for Price systems,” in: Extremal Problems in Approximation Theory. Abstracts of Reports [in Russian], Kiev (1990), pp. 37.

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Translated from Matematicheskie Zametki, Vol. 53, No. 3, pp. 37–50, March, 1993.

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Ivanov, V.I. On Jackson's theorem in L2 for price systems. Math Notes 53, 268–278 (1993). https://doi.org/10.1007/BF01207713

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