International Journal of Mathematics and Mathematical Sciences
Volume 18 (1995), Issue 3, Pages 443-446

Properties of the modulus of continuity for monotonous convex functions and applications

Sorin Gheorghe Gal

Department of Mathematics, University of Oradea, Str. Armatei Romane 5, Oradea 3700, Romania

Received 29 January 1992; Revised 22 November 1992

Copyright © 1995 Sorin Gheorghe Gal. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


For a monotone convex function fC[a,b] we prove that the modulus of continuity w(f;h) is concave on [a,b] as function of h. Applications to approximation theory are obtained.