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

Acta Mathematica Hungarica

Volumn 71, Issue 1-2, 1996, Pages 75-90

  Dragomir, S S ^a   Mond, B ^b  

^a WEST UNIVERSITY OF TIMISOARA   (Romania)

^b LA TROBE UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030304429     PISSN: 02365294     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF00052196     Document Type: Article

References (9)

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.
4. T. Furuta, An elementary proof of Hadamard theorem, Math. Vesnik, 8 (23) (1971), 267-269.
5. S. Kurepa, On the Buniakowski-Cauchy-Schwarz inequality, Math. Vesnik, 1 (21) (1966), 147-158.
6. D. S. Mitrinović, J. E. Pečarić and A. M. Fink, Classical and New Inequalities in Analysis, Kluwer Academic Publishers (Dordrecht-Boston-London, 1993).
7. C. F. Moppert, On the Gram determinant, Quart. J. Math. Oxford, 10 (1959), 161-164.
8. J. E. Pečarić, On some classical inequalities in unitary spaces, Mat. Bilten (Skopje), 16 (1992), 63-72.
9. I. P. Popescu, Affine and Euclidean Geometry (Romanian), ed. Facla (Timisoara, 1984).