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Extrapolation and approximation of functions given on linear sets of positive capacity

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References

  1. Bernstein, S.: Leçons sur les propriétés extrémales et la meilleure approximation des fonctions analytiques d'une variable réelle. Paris: Gauthier-Villars 1926.

    Google Scholar 

  2. — Sur la définition et les propriétés des fonctions analytiques d'une variable réelle. Math. Ann.75, 449–468 (1914).

    Google Scholar 

  3. Leja, F.: Une méthode de construction de la fonction de Green appartenant à un domaine plan quelconque. C.R. Acad. Sci. Paris198, 231–234 (1934).— The results are proved in detail in the paper: Sur les suites de polynômes, les ensembles fermés et la fonction de Green. Ann. Soc. Polon. math.12, 57–71 (1934).

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  4. Szmuszkowiczówna, H.: Un théorème sur les polynômes et application à la théorie des fonctions quasi analytiques. C.R. Acad. Sci. Paris198, 1119–1120 (1934).

    Google Scholar 

  5. Mergelyan, S. N.: Uniform approximations of functions of a complex variable (Russian). Uspehi Mat. Naul7, No. 2 (48), 31–122 (1952); also American Math. Soc. Translation Number 101, Providence, R.I., 1954, 99 p.

    Google Scholar 

  6. Mergelyan, S. N. Certain questions of the constructive theory of functions (Russian). Trudy Math. Inst. Steklov, Moscow37, 1951, 91 p.

    Google Scholar 

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  1. via Castiglione 25, Bologna, (Italy)

    Edwin J. Akutowicz

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  1. Edwin J. Akutowicz
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Akutowicz, E.J. Extrapolation and approximation of functions given on linear sets of positive capacity. Math Z 89, 414–419 (1965). https://doi.org/10.1007/BF01112269

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