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协同s-凸函数的Herimite-Hadamard型积分不等式
引用本文:春玲,双叶.协同s-凸函数的Herimite-Hadamard型积分不等式[J].内蒙古民族大学学报(自然科学版),2013(6):627-630.
作者姓名:春玲  双叶
作者单位:内蒙古民族大学数学学院,内蒙古通辽028043
基金项目: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Heri-mite-Hadamard型不等式。

关 键 词:凸性  协同凸性  Herimite-Hadamard型不等式

Integral Inequalities of Herimite-Hadamard Type for Co-ordinated s-Convex Functions
Chunling,Shuangye.Integral Inequalities of Herimite-Hadamard Type for Co-ordinated s-Convex Functions[J].Journal of Inner Mongolia University for the Nationalities(Natural Sciences),2013(6):627-630.
Authors:Chunling  Shuangye
Institution:(College of Mathmatics,Inner Mongolia University for Nationalities,Tongliao 028043,China)
Abstract: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.
Keywords:Convexity  co-ordinated convexity  Herimite-Hadamard inequality
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