In the present paper we study the compositions of the piecewise linear interpolation operator S Δ n and the Beta-type operator B ¯ n , namely A n := S Δ n ∘ B ¯ n and G n := B ¯ n ∘ S Δ n .
I've been grading calculus exams this week, and even though my students did quite well overall there were a couple of errors that I see every semester. Errors that make mathematicians' heads explode.