Analyticity of Higher-Order Moduli of Continuity of Real-Analytic Functions
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.
English version (Springer): Ukrainian Mathematical Journal 55 (2003), no. 6, pp 905-920.
Citation Example: Dovgoshei A. A., Potemkina L. L. Analyticity of Higher-Order Moduli of Continuity of Real-Analytic Functions // Ukr. Mat. Zh. - 2003. - 55, № 6. - pp. 750-761.