12 citations · 12 across the 3 of their papers we have counts for
3 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.OA2008★ 12 cited
An operator extension of Bohr's inequality
M. S. Moslehian, J. Pecaric, I. Peric
We establish an operator extension of the following generalization of Bohr's inequality, due to M.P. Vasić and D.J. Kečkić: $$|\sum_{i=1}^n z_i|^r \leq (\sum_{i=1}^n α_i^{1/(1-r)})…
math.OA2006
Jensen's operator inequality and its converses
Frank Hansen, Josip Pecaric, Ivan Peric
We give a general formulation of Jensen's operator inequality for unital fields of positive linear mappings, and we consider different types of converse inequalities.