Superquadratic functions and refinements of inequalities between averages

Shoshana Abramovich, Josipa Barić, Marko Matić +1

In this paper upper bounds are given for the successive differences $A_{n+1}-A_n$ and B${}_n-B_{n-1}$ where $A_{n}=1/(n-1) \tsum_{r=1}^{n-1}f(r/n)$, $B_{n}=1/(n+1) \tsum_{r=0}^{n…