On Jensen's inequality for self-adjoint operators in Hilbert space
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 34 (1995) no. 1, pp. 7-13 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Dragomir, Sever Silvestru; Mond, Bertram; Pečarić, Josip E. On Jensen's inequality for self-adjoint operators in Hilbert space. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 34 (1995) no. 1, pp. 7-13. http://geodesic.mathdoc.fr/item/AUPO_1995_34_1_a0/

[1] Dragomir S. S., Ionescu N. M.: On some inequаlities for convex-dominаted functions. Anal. Num. Théor. Approx. 19 (1990), 21-28. | MR

[2] Dragomir S. S.: An improvement of Jensen’s inequаlity. Bull. Math. Soc. Sci. Math. Roumaniè 34 (1990), 291-296. | MR

[3] Dragomir S. S.: An improvement of Jensen’s inequаlity. Math. Bilten (Skopje) 15 (1991), 35-37. | MR

[4] Dragomir S. S., Ionescu N. M.: A new refinement of Jensen’s inequаlity. Anal. Num. Théor. Approx. 20 (1991), 39-41. | MR

[5] Dragomir S. S.: Some refinements of Ky Fаn’s inequаlity. J. Math. Anal. Appl. 163 (1992), 317-321. | MR

[6] Dragomir S. S.: Some inequаlities for convex functions. Macedonian Acad. Sci. Arts, Contributions 10 (1989), 25-28. | MR

[7] Dragomir S. S.: Some refinements of Jensen’s inequаlity. J. Math. Anal. Appl. 168 (1992), 518-522. | MR

[8] Mond B.: An inequаlity for operаtors in а Hiìbert spаce. Pacific J. Math. 18 (1966), 161-163. | MR

[9] Mond B., Shisha O.: A difference inequаlity for operаtors in Hilbert spаce. Blanch Anriiversary Volume (B. Mond, editor), Aerospace Res. Lab., United States Air Force 1967, 269-275. | MR

[10] Mond B., Shisha O.: Difference аnd rаtio inequаlities in Hilbert spаce. In: Inequalities, Vol. II (O. Shisha, editor), Academic Press lnc., New York, 1970, 241-249. | MR

[11] Pečarić J. E., Dragomir S. S.: A refinement of Jensen’s inequаlity аnd аpplicаtions. Studia Univ. Babes-Bolyai 34 (1989), 15-19. | MR

[12] Pečarić J. E., Dragomir S. S.: Some inequаlities for quаsi-lineаr functionаls. Punime Mat. 4 (1989), 37-41.

[13] Riesz F., Nagy B. Sz.: Functionаl Anаlysis. Translated from the 2nd French edition by Leo F. Boron, Frederick Ungar Pub. Co. (1965).