阶估计法在判断瑕积分审敛法中的应用  

Application of Order Estimation Criterion in the Judgment Defect Integral Convergence Test

作　　者：张祖叙 孙荣璞 尹凯倩 Zhang Zuxu;Sun Rongpu;Yin Kaiqian(College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590,China)

机构地区：[1]山东科技大学数学与系统科学学院,山东青岛266590

出　　处：《黑龙江科学》2021年第2期39-41,共3页Heilongjiang Science

摘　　要：受瑕积分敛散性判断方法的启发进行合理类比,给出基于不同条件下瑕积分的审敛性判别法,并从无穷小量与无穷大量的定义入手,结合比较判别法,证明所给出的瑕积分审敛性判别法。本研究采用阶估计法推导了判断瑕积分敛散性的判别法,通过比较判别法进行证明并附以实例,验证了审敛法的有效性和实用性。In this paper,we make a reasonable analogy through enlightenment of the order estimation criterion in the judgment defect integral convergence test,propose convergence criterion methods based on different order estimations,and verify the judgment defect integral convergence test through starting from the definitions of dimensionless and infinitely large quantity,and combining with comparison judgment method.The research applies order estimation criterion in the judgment of defect integral convergence test,and verifies the effectiveness and practicability of convergence test.

关 键 词：阶估计法 瑕积分 比较判别法 

分 类 号：O174[理学—基础数学]