Some properties of a new kind of modulus of smoothness

  • Vilmos Totik

    University of Szeged, Hungary

Abstract

The modulus of smoothness

has arisen during the investigation of positive operators of the Kantorovich type. Here we show that resembles the ordinary case and we give the characterization of those functions for which . The results obtained have applications to positive operators.

Cite this article

Vilmos Totik, Some properties of a new kind of modulus of smoothness. Z. Anal. Anwend. 3 (1984), no. 2, pp. 167–178

DOI 10.4171/ZAA/98