Some Extensions of Hermite－Hadamard Inequality

[[abstract]]對於所有f：[a,b]→R的convex函數,哈達碼不等式恆成立.然而Hadamard並不是第一個發現它的人,根據文獻的記載,最早發現它的人是Mitrinovic和Lackovic,比Hadamard早了十年.關於這個著名的不等式的一些推廣,請參考[1－8,11－22].在本篇論文中,我們將針對[1]和[18]的三個定理再做推廣.[[abstract]]The Hadamard inequalities [9] hold for all convex mappings f：[a,b]→R. We note that J. Hadamard was not the first to discover them. As is pointed out by Mitrinovic and Lackovic [10] the inequalities (1.1) are due to Hermite, who obtained them in 1883, 10 years before J. Hadamard. For some results which generalize, improve, and extend this classic inequality, see [1－8,11－22]. In this paper, we establish some results which generalize (1.1) and three Theorems in [1] and [18]