Operator monotonicity of a 2-parameter family of functions and exp{f(x)} related to the Stolarsky mean
Operator monotonicity of a 2-parameter family of functions and exp{f(x)} related to the Stolarsky mean
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2 参数函数族和 exp{f(x)} 与 Stolarsky 均值相关的算子单调性
DOI：
10.7153/oam-2017-11-34
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发表时间：
2017
期刊：
影响因子：
--
通讯作者：
Y. Udagawa
中科院分区：
文献类型：
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作者：
Y. Udagawa
我们考虑包含Stolarsky均值表示函数的2参数函数族的算子单调性，该函数族是由表示α∈[0,1]的加权幂均值的函数[(1−α) + αxp] p的积分构造的。对于定义在（0,∞）上的连续函数f (x)，我们也考虑exp{f (x)}的算子单调性。数学学科分类（2010）：15A60, 47A64。
We consider operator monotonicity of a 2-parameter family of functions including the representing function of the Stolarsky mean, which is constructed by integration of the function [(1−α) + αxp] p , representing the weighted power mean, of α ∈ [0,1] . We also think about operator monotonicity of exp{ f (x)} for a continuous function f (x) defined on (0,∞) . Mathematics subject classification (2010): 15A60, 47A64.