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

  • 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
How to Cite
DovgosheiA. A., and PotemkinaL. L. “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.
Section
Research articles