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| 摘要: |
| 利用凸函数的性质并通过积分公式给出一些积分不等式,对两类完全椭圆积分的值进行了估计,并特别讨论了一个特殊椭圆积分的上界和下界,改进了有关文献的结果. |
| 关键词: 椭圆积分 估值 凸函数 有界 |
| DOI： |
| 分类号: |
| 基金项目: |
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| Some Appraisements on Complete Elliptic Integral of the First and the Second Kinds |
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TANG Yan
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| Abstract: |
| By using the characteristics of convex function and integral formula,some integral inequalities are given,the value of complete elliptic integral of the first kind and the second kind is estimated,the upper and lower bound of a special elliptic integral∫10dx4-x2-x3 is discussed and the related literature results are improved. |
| Key words: elliptic integral appraisement convex function bounded |
