Analyticity of Higher-Order Moduli of Continuity of Real-Analytic Functions |
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| Authors: | Dovgoshei A. A. Potemkina L. L. |
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| Affiliation: | (1) Institute of Applied Mathematics and Mechanics, Ukrainian Academy of Sciences, Donetsk |
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| Abstract: | The Perel'man's result according to which the first modulus of continuity of any real-analytic function f is a function analytic in a certain neighborhood of the origin is generalized to the case of arbitrary moduli of continuity of higher order. |
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