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

Authors

  • A. A. Dovgoshei
  • L. L. Potemkina

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.

Published

25.06.2003

Issue

Section

Research articles

How to Cite

Dovgoshei, A. A., and L. L. Potemkina. “Analyticity of Higher-Order Moduli of Continuity of Real-Analytic Functions”. Ukrains’kyi Matematychnyi Zhurnal, vol. 55, no. 6, June 2003, pp. 750-61, https://umj.imath.kiev.ua/index.php/umj/article/view/3950.