Bounds for the normalised Jensen functional
Bounds for the normalised Jensen functional
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DOI：
10.1017/s000497270004051x
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发表时间：
2006-12-01
影响因子：
0.7
通讯作者：
Dragomir, Sever S.
中科院分区：
文献类型：
--
作者：
Dragomir, Sever S.
对定义在线性空间上的凸函数的一般情形，建立了新的不等式，改进了著名的詹森不等式.特殊的情况下，赋范空间和复杂的和真实的n元组。得到了Shannon不等式的加细和Kullback-Leibler发散的正性。
New inequalities for the general case of convex functions defined on linear spaces which improve the famous Jensen's inequality are established. Particular instances in the case of normed spaces and for complex and real n-tuples are given. Refinements of Shannon's inequality and the positivity of Kullback-Leibler divergence are obtained.