Optimal Bounds for the Neuman-Sandor Mean in terms of the Convex Combination of the First and Second Seiffert Means
Optimal Bounds for the Neuman-Sandor Mean in terms of the Convex Combination of the First and Second Seiffert Means
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DOI：
10.1155/2015/489490
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发表时间：
2015-01-01
影响因子：
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通讯作者：
Long, Bo-Yong
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文献类型：
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作者：
Cui, Hao-Chuan;Wang, Nan;Long, Bo-Yong
我们找到最小值。和最大值β，使得双重不等式α P（a，B）+（1 -α）T（a，B）< M（a，B）< beta P（a，B）+（1 - beta）T（a，B）对所有a，B > 0且a不等于B成立，其中M（a，B）、P（a，B）和T（a，B）分别是两个正数a和B的Neuman-Sandor平均值以及第一和第二Seiffert平均值。
We find the least value.. and the greatest value beta such that the double inequality alpha P(a,b) + (1 - alpha)T(a,b) < M(a,b) < beta P(a,b) + (1 - beta)T(a,b) holds for all a,b > 0 with a not equal b, where M(a,b), P(a,b), and T(a,b) are the Neuman-Sandor mean and the first and second Seiffert means of two positive numbers a and b, respectively.