SOME MATRIX INEQUALITIES OF KY FAN TYPE

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Published: Dec 1, 1995
DOI: https://doi.org/10.5556/j.tkjm.26.1995.4411
Keywords:
Kantorovich inequality ratio of means differences of means

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B. MOND
School of Mathematics, La Trobe University, Bundoora, Victoria, 3083, Australia.
J. E. PECARIC
Faculty of Textile Technology, University of Zagreb, Zagreb, Croatia.

Abstract




Oneofthewell-knowngeneraliztionsoftheKantorovichinequalitywas given by Ky Fan who established his results for one positive definite matrix but for several vectors. Here we give corresponding results for several matrices and vectors. As well, a number of related inequalities are established.




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How to Cite
MOND, B., & PECARIC, J. E. (1995). SOME MATRIX INEQUALITIES OF KY FAN TYPE. Tamkang Journal of Mathematics, 26(4), 321–326. https://doi.org/10.5556/j.tkjm.26.1995.4411
Issue
Vol. 26 No. 4 (1995)
Section
Papers
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References

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Ky Fan, "Some Matrix Inequalities," Math. Sem. Univ. Hamburg, 29, 185-196, 1966.

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B. Mond and J. E. Pecaric, "Generalization of a matrix inequality of Ky Fan," J. Math. Anal. Appl., 190, 244-247, 1995.

J.E . Pecaric and P.R. Beesack, "On Knopp's inequality for convex functions," Canad. Math. Bull., 30, 267-272, 1987.