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Modulus of Continuity of Piecewise Analytic Functions

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Abstract

We obtain conditions under which the modulus of continuity of a piecewise analytic function given on a closed interval of the real axis is an analytic function in a neighborhood of zero.

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Authors and Affiliations

  1. Institute of Applied Mathematics and Mechanics, National Academy of Sciences of Ukraine, Donetsk

    A. A. Dovgoshei & L. L. Potemkina

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  1. A. A. Dovgoshei
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  2. L. L. Potemkina
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Dovgoshei, A.A., Potemkina, L.L. Modulus of Continuity of Piecewise Analytic Functions. Mathematical Notes 73, 58–70 (2003). https://doi.org/10.1023/A:1022122000808

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  • DOI: https://doi.org/10.1023/A:1022122000808

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