协同s-凸函数的Herimite-Hadamard型积分不等式  

Integral Inequalities of Herimite-Hadamard Type for Co-ordinated s-Convex Functions

作　　者：春玲[1] 双叶[1] 

机构地区：[1]内蒙古民族大学数学学院,内蒙古通辽028043

出　　处：《内蒙古民族大学学报（自然科学版）》2013年第6期627-630,共4页Journal of Inner Mongolia Minzu University：Natural Sciences

基　　金：内蒙古民族大学科学研究基金资助项目(NMD1225)

摘　　要：凸函数是现代数学中的重要概念,而凸函数的Hermite-Hadamard型不等式在控制理论等领域内有广泛的应用.本文利用新的引理和H?lder不等式给出了第二种意义下的二元协同s-凸函数的一些新的Herimite-Hadamard型不等式.Convex function is an important concept of modern mathematics. Herimite-Hadamard inequality is widely applied in cybernetics theory, and so on. In this paper, a new lemma has been introduced and some new Herimite-Had-amard inequalities concerned with co-ordinated s-convex functions in the second sense have been obtained with the help of Holder inequality.

关 键 词：凸性 协同凸性 Herimite-Hadamard型不等式 

分 类 号：O151.25[理学—数学]