Inequality for power series with nonnegative coefficients and applications

 Access to full text

 Full (PDF)

1. [1] Agarwal R. P., Dragomir S. S., A survey of Jensen type inequalities for functions of selfadjoint operators in Hilbert spaces. Comput. Math. Appl. 59 (2010), no. 12, 3785–3812. [WoS][Crossref] Zbl1198.26019
2. [2] Cerone P., Dragomir S. S., A refinement of the Grüss inequality and applications, Tamkang J. Math. 38 (2007), No. 1, 37-49. Preprint RGMIA Res. Rep. Coll., 5 (2) (2002), Art. 14. Zbl1143.26009
3. [3] Cheng X.-L., Sun J., Note on the perturbed trapezoid inequality, J. Inequal. Pure & Appl. Math., 3(2) (2002), Art. 21. Zbl0994.26020
4. [4] Dragomir S. S., A Grüss type inequality for isotonic linear functionals and applications. Demonstratio Math. 36 (2003), no. 3, 551– 562. Preprint RGMIA Res. Rep. Coll. 5(2002), Suplement, Art. 12. [Online http://rgmia.org/v5(E).php]. Zbl1036.26021
5. [5] Dragomir S. S., Some reverses of the Jensen inequality for functions of selfadjoint operators in Hilbert spaces. J. Inequal. Appl. 2010, Art. ID 496821, 15 pp. [Crossref] Zbl1193.47023
6. [6] Dragomir S. S., Reverses of the Jensen inequality in terms of the first derivative and applications, Acta Math. Vietnam. 38 (2013), no. 3, 429–446. Preprint RGMIA Res. Rep. Coll. 14 (2011), Art. 71. [http://rgmia.org/papers/v14/v14a71.pdf]. [Crossref] Zbl1280.26033
7. [7] Dragomir S. S., Some reverses of the Jensen inequality with applications, Bull. Aust. Math. Soc. 87 (2013), no. 2, 177–194. Preprint RGMIA Res. Rep. Coll. 14 (2011), Art. 72. [http://rgmia.org/papers/v14/v14a72.pdf]. Zbl1275.26035
8. [8] Dragomir S. S., A refinement and a divided difference reverse of Jensen’s inequality with applications, Preprint RGMIA Res. Rep. Coll. 14 (2011), Art. 74. [http://rgmia.org/papers/v14/v14a74.pdf]. 
9. [9] Dragomir S. S., Ionescu N. M., Some converse of Jensen’s inequality and applications. Rev. Anal. Numér. Théor. Approx. 23 (1994), no. 1, 71–78. Zbl0836.26009
10. [10] Dragomir S. S., Operator Inequalities of the Jensen, Cˇ ebyšev and Grüss Type. Springer Briefs in Mathematics. Springer, New York, 2012. xii+121 pp. ISBN: 978-1-4614-1520-6 
11. [11] Dragomir S. S., Operator Inequalities of Ostrowski and Trapezoidal Type. Springer Briefs in Mathematics. Springer, New York, 2012. x+112 pp. ISBN: 978-1-4614-1778-1 
12. [12] Helmberg G., Introduction to Spectral Theory in Hilbert Space, John Wiley & Sons, Inc. -New York, 1969. Zbl0177.42401
13. [13] Jensen J. L. W. V., Sur les fonctions convexes et les inegalités entre les valeurs moyennes, Acta Math., 30 (1906), 175-193. [Crossref] Zbl37.0422.02