On a family of operator means involving the power difference means (Theory of operator means and related topics)

On a family of operator means involving the power difference means (Theory of operator means and related topics)
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关于涉及幂差均值的算子均值族(算子均值理论及相关主题)

DOI:
10.1016/j.laa.2015.07.014
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发表时间:
2015
期刊:
--
影响因子:
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通讯作者:
Takeaki Yamazaki
Takeaki Yamazaki
中科院分区:
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文献类型:
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作者:
Y. Udagawa;Shuhei Wada;Takeaki Yamazaki

文献摘要

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介绍了一类新的算子方法。它插入算术、几何、调和和对数均值。此外,它还连续地包含了幂差、斯托拉斯基和同构等特殊算子手段。然后得到它们之间的顺序关系。
A new family of operator means is introduced. It interpolates the arithmetic, geometric, harmonic and logarithmic means. Moreover it includes some special operator means, for example, the power difference, Stolarsky and identric means, continuously. Then order relations among them are obtained.