Inequalities of Hermite-Hadamard type for extended $s$-convex functions   and applications to means
  In the paper, the authors introduce a new concept "extended $s$-convex functions", establish some new integral inequalities of Hermite-Hadamard type for this kind of functions, and apply these inequalities to derive some inequalities of special means. 
Bo-Yan Xi and Feng Qi
math.CA