| 聂辉,张树义,郑晓迪.积分型中值定理中间点函数的性质[J].井冈山大学自然版,2018,(6):1-6,20 |
| 积分型中值定理中间点函数的性质 |
| BEHAVIOR OF “INTERMEDIATE POINT FUNCTION” FOR INTEGRALS TYPE MEAN VALUE THEOREM |
| 投稿时间：2018-06-11 修订日期：2018-08-19 |
| DOI：10.3969/j.issn.1674-8085.2018.06.001 |
| 中文关键词: 比较函数 积分型中值定理 中间点函数 渐近性 可微性 |
| 英文关键词: integralstype mean value theorem intermediate point function asymptotic behavior differentiability |
| 基金项目: |
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| 摘要点击次数: 1631 |
| 全文下载次数: 2001 |
| 中文摘要: |
| 利用比较函数概念研究积分型中值定理"中间点函数"的渐近性，在函数f（x）和g（x）满足Ag（a）Cn（ψ）≠Bf（a）Cn（φ）等一些条件下，建立了积分型中值定理"中间点函数"更广泛的渐近性态，进而获得了"中间点函数"在点a处的一阶可微性，本文结果改进和推广了有关文献中的相应结果。 |
| 英文摘要: |
| The asymptotic behavior of the intermediate point function of the integrals typemean value theorem is studied by using the concept of comparison function. The more extensive asymptotic behavior of the intermediate point function of the integrals mean value theorem are establishedunder the assumption thatthe functions f(x) and g(x) satisfy the conditions, such as Ag(a)Cn(ψ)≠Bf(a)Cn(φ). Furthermore, the first order differentiability at a point of the intermediate point function was achieved for integrals typemean value theorem. The results in this paper improve and generalize the results in. |
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