UM ETheses Collection (澳門大學電子學位論文庫)
 Title

Some new results on the HermiteHadamard inequality for functions of two variables and their applications
 English Abstract

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In this thesis, we consider the HermiteHadamard inequality for convex functions of two variables (HH2). In Chapter 1, a brief introduction of HH2 is given. In Chapter 2, we give two inequalities related to HH2, which are inspired by a result established recently. We apply them to two convex functions. Some results related to the p−logarithmic mean and the arithmetic mean are obtained. Applications of the classical HermiteHadamard inequality (for functions of one variable) to matrix functions are also given in this chapter. The thesis ends with a chapter of a brief conclusion.
 Issue date

2013.
 Author

Lv, Shu Lin
 Faculty

Faculty of Science and Technology
 Department

Department of Mathematics
 Degree

M.Sc.
 Subject

Inequalities (Mathematics)
Calculus
Mathematical statistics
 Supervisor

Jin, Xiao Qing
 Files In This Item
 Location
 1/F Zone C
 Library URL
 991004679869706306