Properties of the modulus of continuity for monotonous convex functions and applications
Sorin Gheorghe Gal1
Received29 Jan 1992
Revised22 Nov 1992
Abstract
For a monotone convex function f∈C[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.