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

Generalizations of some HermiteHadamardtype inequalities
 English Abstract

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This thesis is closely related to a result of K. L. Tseng, S. R. Hwang, and S. S. Dragomir which is published recently [Comput. Math. Appl. 62 (2011), 401–418]. In that article, by considering four points x, y, y0 , x0 in an interval [a, b] such that x < y ≤ y 0 < x0 and x + x 0 = y + y 0 , some new HermiteHadamardtype inequalities were proved. We give some extensions of these new inequalities from a weighted viewpoint. Throughout this thesis, we suppose that f is a convex function on [a, b] and a ≤ x < y ≤ y 0 < x0 ≤ b. In addition, we impose the assumption λx + λ 0x 0 = λy + λ 0 y 0 for some λ, λ0 > 0. When λ = λ 0 = 1, these assumptions reduce to those imposed in paper of Tseng, Hwang and Dragomir
 Issue date

2012
 Author

Fok, Hou Kei
 Faculty

Faculty of Science and Technology
 Degree

M.Sc.
 Subject

Mathematics  Department of Mathematics
Mathematical statistics
Inequalities (Mathematics)
 Supervisor

Vong, Seak Weng
 Files In This Item
 Location
 1/F Zone C
 Library URL
 991001195219706306