2 papers
math.NA2011
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 and B where $A_{n}=1/(n-1) \tsum_{r=1}^{n-1}f(r/n)$, $B_{n}=1/(n+1) \tsum_{r=0}^{n…
math.FA2011
Extension of Euler Lagrange identity by superquadratic power functions
Shoshana Abramovich, Slavica Ivelić, Josip Pečarić
Using convexity and superquadracity we extend in this paper Euler Lagrange identity, Bohr's inequalitiy and the triangle inequality.