Remarks on a Bernstein-type operator of Aldaz, Kounchev and Render

Abstract

The Bernstein-type operator of Aldaz, Kounchev and Render (2009) is discussed. New direct results in terms of the classical second order modulus as well as in a modification following Marsden and Schoenberg are given.

Keywords

• Bernstein-type operator
• king operator
• second order modulus of continuity
• Marsden-Schoenberg
• modulus of order j