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  • 1.
    Lithner, Johan
    Umeå University, Faculty of Science and Technology, Department of mathematics.
    Comparing two versions of Markov's inequality on compact sets1994In: Journal of Approximation Theory, ISSN 0021-9045, E-ISSN 1096-0430, Vol. 77, no 2, p. 202-211Article in journal (Refereed)
    Abstract [en]

    We compare a local and a global version of Markov's inequality defined on compact subsets of C. As a main result we show that the local version implies the global one. The same result was also obtained independently by A. Volberg.

  • 2.
    Lithner, Johan
    et al.
    Umeå University, Faculty of Science and Technology, Department of mathematics.
    Woijcik, Adam
    University of Krakow.
    A Note on Bernstein's Theorems1995In: Journal of Approximation Theory, ISSN 0021-9045, E-ISSN 1096-0430, Vol. 81, no 3, p. 316-322Article in journal (Refereed)
    Abstract [en]

    There is given a completion to Theorem 3.3 of [11] by showing that on compact subsets of R N (or C N) preserving Markov′s inequality, some speed of polynomial approximation leads to Lipschitz- and Zygmund-type classes of functions.

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