Wu Shanhe, Adil Khan Muhammad, Basir Abdul, Saadati Reza
1Department of Mathematics, Longyan University, Longyan, China.
2Department of Mathematics, University of Peshawar, Peshawar, Pakistan.
J Inequal Appl. 2018;2018(1):146. doi: 10.1186/s13660-018-1739-2. Epub 2018 Jun 27.
In this paper, we first prove an integral majorization theorem related to integral inequalities for functions defined on rectangles. We then apply the result to establish some new integral inequalities for functions defined on rectangles. The results obtained are generalizations of weighted Favard's inequality, which also provide a generalization of the results given by Maligranda et al. (J. Math. Anal. Appl. 190:248-262, 1995) in an earlier paper.
在本文中，我们首先证明了一个与定义在矩形上的函数的积分不等式相关的积分优超定理。然后我们应用该结果建立了一些定义在矩形上的函数的新积分不等式。所得到的结果是加权法瓦尔不等式的推广，同时也推广了马利格兰达等人（《数学分析与应用杂志》190:248 - 262，1995）在早期论文中给出的结果。
