| 关于m-凸函数若干结果加权形式的推广 |
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| 引用本文： | 赵临龙,俞元洪.关于m-凸函数若干结果加权形式的推广[J].数学杂志,2011,31(4):705-710. |
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| 作者姓名： | 赵临龙 俞元洪 |
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| 作者单位： | 1. 安康学院数学系,陕西安康,725000
2. 中国科学院数学与系统科学研究院,北京,100190 |
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| 基金项目： | 陕西省精品课建设项目，陕西省重点专业建设项目，安康学院科技重点项目，安康学院重点扶持学科《基础数学》建设项目 |
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| 摘 要： | 本文研究了m-凸函数的若干结果加权的问题.利用积分不等式对称变换式的方法,获得了Hermite-Hadamard不等式的4个结论,推广了m-凸函数的Hermite-Hadamard的加权结果.
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| 关 键 词： | 加权不等式 Hermite-Hadamard型 m-凸函数 |
EXTENSIONS OF THE WEIGHTED FORMS OF SEVERAL RESULTS ON m-CONVEX FUNCTION |
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| ZHAO Lin-long,YU Yuan-hong.EXTENSIONS OF THE WEIGHTED FORMS OF SEVERAL RESULTS ON m-CONVEX FUNCTION[J].Journal of Mathematics,2011,31(4):705-710. |
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| Authors: | ZHAO Lin-long YU Yuan-hong |
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| Institution: | ZHAO Lin-long1,YU Yuan-hong2 (1. Dept. of Mathematics,Ankang University,Ankang 725000,China) (2. Academy of Mathematics & System Sciences,Chinese Academy of Sciences,Beijing 100190,China) |
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| Abstract: | In this article, we discusse several results on the weighted forms of the m-convex function. By applying the symmetry transform which is used in integral inequality, we obtain four conclusions on the Hermite-Hadamard weighted inequality and extend the Hermite-Hadamard weighted results of the m-convex function. |
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| Keywords: | weighted inequality Hermite-Hadamard type m-convex functions |
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