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Inequalities for derivatives of functions analytical in a strip

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References

  1. A. N. Kolmogorov, “On inequalities between upper bounds of successive derivatives of an arbitrary function on an infinite interval,”Uch. Zap. Mosk. Univ., No. 30, 3–16 (1939).

    Google Scholar 

  2. V. M. Tikhomirov and G. G. Magaril-Il'yaev, “Inequalities for derivatives,” in:A. N. Kolmogorov.Selected Works. Mathematics, Mechanics [in Russian], Nauka, Moscow (1985), pp. 387–390.

    Google Scholar 

  3. N. I. Akhiezer,Elements of Elliptic Function Theory [in Russian], Nauka, Moscow (1970).

    Google Scholar 

  4. N. P. Korneichyuk,Extremal Problems of Approximation Theory [in Russian], Nauka, Moscow (1976).

    Google Scholar 

  5. N. P. Korneichyuk,Exact Constants in Approximation Theory [in Russian], Nauka, Moscow (1987).

    Google Scholar 

  6. K. Yu. Osipenko and M. I. Stesin, “Optimal reconstruction of derivatives of bounded analytical and harmonic functions by inexact data,vMat. Zametki,53, No. 5, 87–97 (1993).

    MathSciNet  Google Scholar 

  7. K. Yu. Osipenko, “Onn-widths, optimal quadrature formulas, and optimal reconstruction of functions analytical in an strip,”Izv. Ros. Akad. Nauk, Ser. Mat.,58, No. 4, 55–79 (1994).

    MATH  MathSciNet  Google Scholar 

  8. V. V. Arestov, “The best reconstruction of operators and related problems,”Tr. Mat. Inst. Steklov,189, 3–20 (1989).

    MathSciNet  Google Scholar 

  9. G. G. Magaril-Il'yaev and K. Yu. Osipenko, “On optimal reconstruction of functionals by inexact data,”Mat. Zametki,50, No. 6, 85–93 (1991).

    MathSciNet  Google Scholar 

  10. S. B. Stechkin, “The best approximation of linear operators,”Mat. Zametki,1, No. 2, 137–148 (1967).

    MATH  MathSciNet  Google Scholar 

  11. V. N. Gabushin, “The best approximation of functionals on some sets,”Mat. Zametki,8, No. 5, 551–562 (1970).

    MATH  MathSciNet  Google Scholar 

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This work was supported by the Russian Foundation for Fundamental Research, Grant No. 93-01-00237, and by the International Scientific Foundation, Grant No. MP 1000.

Translated from Matematicheskie Zametki, Vol. 56, No. 4, pp. 114–122, October, 1994.

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Osipenko, K.Y. Inequalities for derivatives of functions analytical in a strip. Math Notes 56, 1069–1074 (1994). https://doi.org/10.1007/BF02362376

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