| 在非线性分式函数的情况下广义凸之间的关系 |
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| 引用本文： | 赵丽丽,张庆祥,李彩梅.在非线性分式函数的情况下广义凸之间的关系[J].延安大学学报(自然科学版),2012,31(3):31-34. |
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| 作者姓名： | 赵丽丽 张庆祥 李彩梅 |
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| 作者单位： | 延安大学数学与计算机学院,陕西延安,716000 |
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| 基金项目： | 陕西省教育厅专项科研基金支柱课题 |
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| 摘 要： | 在E-凸函数,拟-E-凸函数,伪-E-凸函数的基础上,给出了B-E-凸函数,拟-B-E-凸函数,伪-B-E-凸函数概念;在非线性分式函数的情况下,进一步研究了广义凸之间的9个关系及2个结论;最后对上面的关系及结论给出了4个定理,并用E-凸函数和B-E-凸函数的相关知识分别对其进行了证明。
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| 关 键 词： | E-凸集 E-凸函数 拟-E-凸函数 伪-E-凸函数 B-E-凸函数 拟-B-E-凸函数 伪-B-E-凸函数 |
Relationship Between Generalized E-Convex Under the Condition of Nonlinear Fractional Function |
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| ZHAO Li-li,ZHANG Qing-xiang,LI Cai-mei.Relationship Between Generalized E-Convex Under the Condition of Nonlinear Fractional Function[J].Journal of Yan'an University(Natural Science Edition),2012,31(3):31-34. |
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| Authors: | ZHAO Li-li ZHANG Qing-xiang LI Cai-mei |
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| Institution: | (College of Mathematics and Computer Science,Yan an University,Yan an 716000,China) |
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| Abstract: | Firstly,On the basis of E-convex function,quasi-E-convex function,pseudo-E-convex function,I gave B-E-convex function,quasi-B-E-convex function and pseudo-B-E-convex function concept;secondly,At the case of the nonlinear fractional function,was studied nine kinds of relationship and two conclusions between generalized convex was studied;finally,four theorems was given on the base of the above relationship and the conclusion,and tnose tneorems was proved through related knowledge of the E-convex function and B-E convex function. |
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| Keywords: | E-convex set E-convex function quasi-E-convex function pseudo-E-convex function B E-convex function quasi-B-E-convex function pseudo-B-E-convex function |
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