Matrix Mixed Mean Inequalities
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The main goal of this article is to present new matrix inequalities that interpolate between different kinds of well known inequalities for positive matrices. For example, inequalities that interpolate between the celebrated matrix Heinz, Hölder and the Cauchy–Schwartz inequalities are presented. Many other results and consequences will be presented too.
KeywordsPositive matrices Heinz inequality Young’s inequality Cauchy–Schwartz inequality
Mathematics Subject Classification15A24 15A60 15B48 26A51 47A30
The work of M. Sababheh is supported by a sabbatical leave from Princess Sumaya University for Technology, Amman, Jordan.
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