2017
Том 69
№ 9

All Issues

Analyticity of Higher-Order Moduli of Continuity of Real-Analytic Functions

Dovgoshei A. A., Potemkina L. L.

Full text (.pdf)


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.

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.

Full text