NEW VERSIONS OF REVERSE YOUNG AND HEINZ MEAN INEQUALITIES WITH THE KANTOROVICH CONSTANT
NEW VERSIONS OF REVERSE YOUNG AND HEINZ MEAN INEQUALITIES WITH THE KANTOROVICH CONSTANT
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DOI:
10.11650/tjm.19.2015.4548
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发表时间:
2015-03
影响因子:
0.4
通讯作者:
Wenshi Liao;Junliang Wu;Jianguo Zhao
中科院分区:
文献类型:
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作者:
Wenshi Liao;Junliang Wu;Jianguo Zhao
We show new versions of reverse Young inequalities by virtue of the Kantorovich constant, and utilizing the new reverse Young inequalities we give the reverses of the weighted arithmetic-geometric and geometric-harmonic mean inequalities for two positive operators. Also, new versions of reverse Young and Heinz mean inequalities for unitarily invariant norms are established.