On some Hölder type trace inequalities for operator weighted geometric mean

DOI: https://doi.org/10.12697/ACUTM.2020.24.18

Keywords: Young's inequality, Hölder's operator inequality, trace inequalities, arithmetic mean - geometric mean inequality

We obtain some Hölder type trace inequalities for operator weighted geometric mean. Some vector inequalities are also given.

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Silvestru Sever Dragomir, Victoria University

College of Engineering & Science, Victoria University, Australia;

School of Computational & Applied Mathematics, University of the Witwatersrand, South Africa