In this paper we give refinements of some convex and log-convex moment inequalities of the second and third order using a special kind of an algebraic positive semi-definite form. An open problemâ€¦ (More)

There are many important inequalities which are particular cases of Jensenâ€™s inequality among which are the weighted A âˆ’ G âˆ’ H inequality, Cauchyâ€™s inequality, the Ky Fan and HÃ¶lderâ€™s inequalities.â€¦ (More)

Recommended by Feng Qi We give an extension of well-known Stolarsky means to the multivariable case in a simple and applicable way. Some basic inequalities concerning this matter are also establishedâ€¦ (More)

Slavko Simic Mathematical Institute SANU, Kneza Mihaila 36, 11000 Belgrade, Serbia Correspondence should be addressed to Slavko Simic; ssimic@turing.mi.sanu.ac.rs Received 25 June 2012; Revised 9â€¦ (More)