关于Laplace不等式的讨论  

On Discussion of Laplace Inequality

作　　者：于永新[1] 

机构地区：[1]鞍山钢铁学院数理系,辽宁鞍山114002

出　　处：《鞍山钢铁学院学报》2002年第1期53-57,共5页Journal of Anshan Institute of Iron and Steel Technology

摘　　要：与文献中应用数学归纳法不同 ,本文使用更初等和简单的方法对涉及两个似序或反序的单调正数序列的Laplace不等式作了全面的讨论 ,同样 ,还对涉及两个似序或反序的正的可积的单调函数同样形式的不等式进行了讨论 ,也考虑了相关的一些不等式 .Instead of applying mathematical induction in the literature,a more elementary and simpler mehtod is used to make a comprehensive discussion of Laplace inequaltiy involving two monotonic positive finite number sequences with the same sense or opposite sense.Analogous discussion is made for the same type integral inequality for two positive integrable monotone functions with similarly order or oppositely order.Some related inequalities are also considered.

关 键 词：Laplace不等式 积分 似序 反序 单调函数 

分 类 号：O122.3[理学—数学]