本套书共分4卷，本书是第四卷，主要介绍备受国内外关注的不等式之一Jensen不等式的相关性质及理论，包括Jensen不等式的由来与证明、应用和变形、均值不等式、Holder不等式、Cauchy不等式的性质与证明等内容。本书作为不等式领域的重要图书，其内容全面，知识点丰富，讲解细致、深入，其中富含了很多Jensen不等式的相关内容，并且在书中含有很多相关的习题供读者巩固练习。本书可供大学教师和学生及数学爱好者参考阅读，相信读过本书必会受益匪浅。

1 Half Convex Function Method
1.1 Theoretical Basis
1.2 Applications
1.3 Solutions
2 Half Convex Function Method for 0rdered Variables
2.1 111eoretical Basis
2.2 Applications
2.3 Solutions
3 PartiallyConvexFunctionMethod
3.1 Theoretical Basis
3.2 Applications
3.3 Solutions
4 Partially Convex Function Method for Ordered Variables
4.1 Theoretical Basis
4.2 Applications
4.3 Solutions
5 Ev MethodforNonnegativeVariables
5.1 Theoretical Basis
5.2 Applications
5.3 Solutions
6 EV MethodforRealVariables
6.1 Theoretical Basis
6.2 Applications
6.3 Solutions
A Glosar
B Index
Bibliography
编辑手记