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On the superadditivity and monotonicity of Gram's inequality and related results

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References

  1. S. S. Dragomir and J. Sándor, On Bessel's and Gram's inequalities in prehilbertian spaces, Periodica Mat. Hungarica, to appear.

  2. S. S. Dragomir and B. Mond, On the superadditivity and monotonicity of Schwarz's inequality in inner product spaces, submitted for publication.

  3. W. N. Everitt, Inequalities for Gram determinants, Quart. J. Math. Oxford, 8 (1957), 191–196.

    Google Scholar 

  4. T. Furuta, An elementary proof of Hadamard theorem, Math. Vesnik, 8 (23) (1971). 267–269.

    Google Scholar 

  5. S. Kurepa, On the Buniakowski-Cauchy-Schwarz inequality, Math. Vesnik. 1 (21) (1966), 147–158.

    Google Scholar 

  6. D. S. Mitrinović, J. E. Pečarić and A. M. Fink, Classical and New Inequalities in Analysis, Kluwer Academic Publishers (Dordrecht-Boston-London, 1993).

    Google Scholar 

  7. C. F. Moppert, On the Gram determinant, Quart. J. Math. Oxford, 10 (1959), 161–164.

    Google Scholar 

  8. J. E. Pečarić, On some classical inequalities in unitary spaces, Mat. Bilten (Skopje), 16 (1992), 63–72.

    Google Scholar 

  9. I. P. Popescu, Affine and Euclidean Geometry (Romanian), ed. Facla (Timisoara, 1984).

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This research was supported by a grant from La Trobe University.

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Dragomir, S.S., Mond, B. On the superadditivity and monotonicity of Gram's inequality and related results. Acta Math Hung 71, 75–90 (1996). https://doi.org/10.1007/BF00052196

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