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Theorem on bases-formation by near systems and its applications

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Literature cited

  1. M. A. Evgrafov, The Abel-Goncharov Interpolation Problem [in Russian], Gostekhizdat, Moscow-Leningrad (1954).

    Google Scholar 

  2. M. A. Evgrafov, “The method of near systems in the space of analytic functions and its application to interpolation,” Tr. Mosk. Mat. Obshch.,5, 89–201 (1956).

    Google Scholar 

  3. M. G. Khaplanov, “Linear operators in the analytic space and their appplications,” Dissertation, Kharkov (1960).

  4. G. Pólya and G. Szegö, Problems and Theorems in Analysis, Vol. 2, Springer-Verlag, New York (1976).

    Google Scholar 

  5. Yu. K. Suetin, “On the constants of convergence and uniqueness for certain interpolation problems,” Mat. Sb.,66 (108), No. 1, 142–160 (1965).

    Google Scholar 

  6. J. D. Buckholtz, “Successive derivative of analytic functions,” Indian. J. Math.,13, 83–88 (1971).

    Google Scholar 

  7. R. S. Varga, Topics on Polynomial and Rational Interpolation and Approximation, Presses de l'Univrsité de Montréal, Montreal, Quebec (1982).

    Google Scholar 

  8. S. S. Macyntire, “On the zeros of successive derivatives of integral functions,” Tr. Am. Math. Soc.,67, No. 1, 241–251 (1949).

    Google Scholar 

  9. M. Pommiez, “Sur les restes successifs des series de Taylor,” CR Acad. Sci. Paris,250, 2669–2671 (1960).

    Google Scholar 

  10. M. Pommiez, “Sur les restes successifs des series de Taylor,” CR Acad. Sci. Paris,251, 1701–1709 (1960).

    Google Scholar 

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Translated from Matematicheskie Zametki, Vol. 44, No. 1, pp. 80–88, July, 1988.

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Kaz'min, Y.A. Theorem on bases-formation by near systems and its applications. Mathematical Notes of the Academy of Sciences of the USSR 44, 532–536 (1988). https://doi.org/10.1007/BF01158119

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  • DOI: https://doi.org/10.1007/BF01158119

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