| 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. |
| 关键词: 加权不等式 Hermite-Hadamard型 m-凸函数 |
| DOI： |
| 分类号:O178 |
| 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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| EXTENSIONS OF THE WEIGHTED FORMS OF SEVERAL RESULTS ON m-CONVEX FUNCTION |
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ZHAO Lin-long,YU Yuan-hong
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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. |
| Key words: weighted inequality Hermite-Hadamard type m-convex functions |
