Monotonicity rule for the quotient of two functions and its application.

Monotonicity rule for the quotient of two functions and its application.
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两个函数的商的单调性规则及其应用

DOI:
10.1186/s13660-017-1383-2
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发表时间:
2017
影响因子:
1.6
通讯作者:
Zhang W
Zhang W
中科院分区:
数学3区
文献类型:
--
作者:
Yang ZH;Qian WM;Chu YM;Zhang W

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In the article, we provide a monotonicity rule for the function, whereis a positive differentiable and decreasing function defined on(), andandare two real power series converging onsuch that the sequenceis increasing (decreasing) withandfor all. As applications, we present new bounds for the complete elliptic integral() of the second kind.