Sever S. Dragomir
The quasilinearity of a family of functionals in linear spaces with applications to inequalities
Received: 2 October 2012
Accepted: 24 April 2013
Mathematics Subject Classification (2010): 26D15.
Keywords: Additive, superadditive and subadditive functionals, Convex functions, Jensen's inequality, Hölder's inequality, Minkowski's inequality.
Abstract: The superadditivity and subadditivity properties of certain composite functionals are investigated. Applications in refining Jensen's, Hölder's, Minkowski's and Schwarz's inequalities are given.