Some refinements of Jensen's inequality
Let \(C\) be a convex subset of a real vector space and let \(f\) be a convex function on \(C\). Let \(x_ i\in C\), \(p_ i\geq0\), \(\sum^ n_{i=1}p_ i=1\). The author inserts some expressions between 0 and \(\sum^ n_{i=1}p_ if(x_ i)-f\left(\sum^ n_{i=1}p_ ix_ i\right)\).
scientific article; zbMATH DE number 150613