This paper presents the popularization of the weighting of Chebyshev's inequality and discusses the relation between this popularization and some famous inequalities.
Some chains of inequalities of Hua-Wang type are established. These interesting results are the generalizations of some known inequalities. One of the new methods establishing inequalities is based on Sandor's goo...Some chains of inequalities of Hua-Wang type are established. These interesting results are the generalizations of some known inequalities. One of the new methods establishing inequalities is based on Sandor's good idea; another is applying the characteristics of nonlinear positive functionals.展开更多
In this paper, we introduce a new mapping in connection to a recent generalization of Hadamard＇s inequalities for convex functions which gives a continuous scale of refinements of the mentioned inequalities. Some app...In this paper, we introduce a new mapping in connection to a recent generalization of Hadamard＇s inequalities for convex functions which gives a continuous scale of refinements of the mentioned inequalities. Some applications are also mentioned.展开更多
In this note, we discuss a well-known inequality which attracts considerable interest recently. We first obtain a full version of the inequality, then we give a concise and elementary proof which reveals its very esse...In this note, we discuss a well-known inequality which attracts considerable interest recently. We first obtain a full version of the inequality, then we give a concise and elementary proof which reveals its very essential. This naturally leads us to some more general extensions of it. Meanwhile, we point out some mistakes in the existing literature concerning the inequality.展开更多
文摘This paper presents the popularization of the weighting of Chebyshev's inequality and discusses the relation between this popularization and some famous inequalities.
文摘Some chains of inequalities of Hua-Wang type are established. These interesting results are the generalizations of some known inequalities. One of the new methods establishing inequalities is based on Sandor's good idea; another is applying the characteristics of nonlinear positive functionals.
文摘In this paper, we introduce a new mapping in connection to a recent generalization of Hadamard＇s inequalities for convex functions which gives a continuous scale of refinements of the mentioned inequalities. Some applications are also mentioned.
文摘In this note, we discuss a well-known inequality which attracts considerable interest recently. We first obtain a full version of the inequality, then we give a concise and elementary proof which reveals its very essential. This naturally leads us to some more general extensions of it. Meanwhile, we point out some mistakes in the existing literature concerning the inequality.
