... X is a random variable The above listed inequalities are also equivalent to the inequalities in Lemma 2.1 4 Journal of Inequalities and Applications Proof The sketch of the proof of this theorem ... Proceedings of the American Mathematical Society Meeting 700, Cleveland, Ohio, USA, 1979 C A Infantozzi, “An introduction to relations among inequalities,” Notices of the American Mathematical Society, ... pp A9 18 A8 20, 1972 A W Marshall and I Olkin, Inequalities: Theory of Majorization and Its Applications, vol 143 of Mathematics in Science and Engineering, Academic Press, New York, NY, USA, 1979...