References
- [1] N. G. de Bruijn, Problem 12, Wisk. Opgaven, 21 (1960), 12-14.
- [2] M. L. Buzano Generalizzazione della diseguaglianza di Cauchy-Schwarz. (Italian), Rend. Sem. Mat. Univ. e Politech. Torino, 31 (1971/73), 405-409 (1974).
- [3] S. S. Dragomir, Some refinements of Schwartz inequality, Simpozionul de Matematici şi Aplicaţii, Timişoara, Romania, 1-2 Noiembrie 1985, 13-16.
- [4] S. S. Dragomir, Grüss inequality in inner product spaces, The Australian Math Soc. Gazette, 26 (1999), No. 2, 66-70.
- [5] S. S. Dragomir, A generalization of Grüss' inequality in inner product spaces and applications, J. Math. Anal. Appl., 237 (1999), 74-82.
- [6] S. S. Dragomir, Some Grüss type inequalities in inner product spaces, J. Inequal. Pure & Appl. Math., 4(2) (2003), Article 42. (Online http://jipam.vu.edu.au/article.php?sid=280).
- [7] S. S. Dragomir, Reverses of Schwarz, triangle and Bessel inequalities in inner product spaces, J. Inequal. Pure & Appl. Math., 5(3) (2004), Article 76. (Online : http://jipam.vu.edu.au/article.php?sid=432).
- [8] S. S. Dragomir, New reverses of Schwarz, triangle and Bessel inequalities in inner product spaces, Austral. J. Math. Anal. & Applics., 1(1) (2004), Article 1. (Online: http://ajmaa.org/cgibin/paper.pl?string=nrstbiips.tex ).
- [9] S. S. Dragomir, On Bessel and Grüss inequalities for orthornormal families in inner product spaces, Bull. Austral. Math. Soc., 69(2) (2004), 327-340.
- [10] S. S. Dragomir, Advances in Inequalities of the Schwarz, Grüss and Bessel Type in Inner Product Spaces, Nova Science Publishers Inc, New York, 2005, x+249 p.
- [11] S. S. Dragomir, Reverses of the Schwarz inequality in inner product spaces generalising a Klamkin- McLenaghan result, Bull. Austral. Math. Soc. 73(1)(2006), 69-78.
- [12] S. S. Dragomir, Advances in Inequalities of the Schwarz, Triangle and Heisenberg Type in Inner Product Spaces. Nova Science Publishers, Inc., New York, 2007. xii+243 pp. ISBN: 978-1-59454-903-8; 1-59454-903-6 (Preprint http://rgmia.org/monographs/advancees2.htm)
- [13] S. S. Dragomir, Inequalities for the norm and the numerical radius of linear operators in Hilbert spaces, Demonstratio Mathematica, XL (2007), No. 2, 411-417.
- [14] S. S. Dragomir, Some new Grüss' type inequalities for functions of selfadjoint operators in Hilbert spaces, RGMIA Res. Rep. Coll., 11(e) (2008), Art. 12.
- [15] S. S. Dragomir, Inequalities for the Čebyšev functional of two functions of selfadjoint operators in Hilbert spaces, RGMIA Res. Rep. Coll., 11(e) (2008), Art. 17.
- [16] S. S. Dragomir, Some inequalities for the Čebyšev functional of two functions of selfadjoint operators in Hilbert spaces, RGMIA Res. Rep. Coll., 11(e) (2008), Art. 8.
- [17] S. S. Dragomir, Inequalities for the Čebyšev functional of two functions of selfadjoint operators in Hilbert spaces , Aust. J. Math. Anal. & Appl. 6(2009), Issue 1, Article 7, pp. 1-58.
- [18] S. S. Dragomir, Some inequalities for power series of selfadjoint operators in Hilbert spaces via reverses of the Schwarz inequality. Integral Transforms Spec. Funct. 20 (2009), no. 9-10, 757-767.
- [19] S. S. Dragomir, Operator Inequalities of the Jensen, Čebyšev and Grüss Type. Springer Briefs in Mathematics. Springer, New York, 2012. xii+121 pp. ISBN: 978-1-4614-1520-6.
- [20] S. S. Dragomir, Operator Inequalities of Ostrowski and Trapezoidal Type. Springer Briefs in Mathematics. Springer, New York, 2012. x+112 pp. ISBN: 978-1-4614-1778-1.
- [21] S. S. Dragomir, Inequalities for the Numerical Radius of Linear Operators in Hilbert Spaces. Springer Briefs in Mathematics. Springer, 2013. x+120 pp. ISBN: 978-3-319-01447-0; 978-3-319-01448-7.
- [22] S. S. Dragomir, M. V. Boldea and C. Buşe, Norm inequalities of Čebyšev type for power series in Banach algebras, Preprint RGMIA Res. Rep. Coll., 16 (2013), Art. 73.
- [23] S. S. Dragomir and B. Mond, On the superadditivity and monotonicity of Schwarz's inequality in inner product spaces, Contributions, Macedonian Acad. of Sci and Arts, 15(2) (1994), 5-22.
- [24] S. S. Dragomir and B. Mond, Some inequalities for Fourier coeficients in inner product spaces, Periodica Math. Hungarica, 32 (3) (1995), 167-172.
- [25] S. S. Dragomir, J. Pečarić and J. Sándor, The Chebyshev inequality in pre-Hilbertian spaces. II. Proceedings of the Third Symposium of Mathematics and its Applications (Timişoara, 1989), 75-78, Rom. Acad., Timişoara, 1990. MR1266442 (94m:46033)
- [26] S. S. Dragomir and J. Sándor, The Chebyshev inequality in pre-Hilbertian spaces. I. Proceedings of the Second Symposium of Mathematics and its Applications (Timişoara, 1987), 61-64, Res. Centre, Acad. SR Romania, Timişoara, 1988. MR1006000 (90k:46048).
- [27] K. E. Gustafson and D. K. M. Rao, Numerical Range, Springer-Verlag, New York, Inc., 1997.
- [28] S. Kurepa, Note on inequalities associated with Hermitian functionals, Glasnik Matematčki, 3(23) (1968), 196-205.