On Jensen's inequality for self-adjoint operators in Hilbert space

Sever Silvestru Dragomir; Bertram Mond; Josip E. Pečarić

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (1995)

  • Volume: 34, Issue: 1, page 7-13
  • ISSN: 0231-9721

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Dragomir, Sever Silvestru, Mond, Bertram, and Pečarić, Josip E.. "On Jensen's inequality for self-adjoint operators in Hilbert space." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 34.1 (1995): 7-13. <http://eudml.org/doc/23597>.

@article{Dragomir1995,
author = {Dragomir, Sever Silvestru, Mond, Bertram, Pečarić, Josip E.},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {convex inequalities; arithmetic mean; Jensen's discrete inequality; selfadjoint operators},
language = {eng},
number = {1},
pages = {7-13},
publisher = {Palacký University Olomouc},
title = {On Jensen's inequality for self-adjoint operators in Hilbert space},
url = {http://eudml.org/doc/23597},
volume = {34},
year = {1995},
}

TY - JOUR
AU - Dragomir, Sever Silvestru
AU - Mond, Bertram
AU - Pečarić, Josip E.
TI - On Jensen's inequality for self-adjoint operators in Hilbert space
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 1995
PB - Palacký University Olomouc
VL - 34
IS - 1
SP - 7
EP - 13
LA - eng
KW - convex inequalities; arithmetic mean; Jensen's discrete inequality; selfadjoint operators
UR - http://eudml.org/doc/23597
ER -

References

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  1. Dragomir S. S., Ionescu N. M., On some inequаlities for convex-dominаted functions, Anal. Num. Théor. Approx. 19 (1990), 21-28. (1990) MR1159773
  2. Dragomir S. S., An improvement of Jensen’s inequаlity, Bull. Math. Soc. Sci. Math. Roumaniè 34 (1990), 291-296. (1990) MR1309527
  3. Dragomir S. S., An improvement of Jensen’s inequаlity, Math. Bilten (Skopje) 15 (1991), 35-37. (1991) MR1147334
  4. Dragomir S. S., Ionescu N. M., A new refinement of Jensen’s inequаlity, Anal. Num. Théor. Approx. 20 (1991), 39-41. (1991) MR1172172
  5. Dragomir S. S., Some refinements of Ky Fаn’s inequаlity, J. Math. Anal. Appl. 163 (1992), 317-321. (1992) MR1145834
  6. Dragomir S. S., Some inequаlities for convex functions, Macedonian Acad. Sci. Arts, Contributions 10 (1989), 25-28. (1989) MR1190629
  7. Dragomir S. S., Some refinements of Jensen’s inequаlity, J. Math. Anal. Appl. 168 (1992), 518-522. (1992) MR1176008
  8. Mond B., An inequаlity for operаtors in а Hiìbert spаce, Pacific J. Math. 18 (1966), 161-163. (1966) MR0199714
  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. (1967) MR0215115
  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. (1970) MR0267059
  11. Pečarić J. E., Dragomir S. S., A refinement of Jensen’s inequаlity аnd аpplicаtions, Studia Univ. Babes-Bolyai 34 (1989), 15-19. (1989) MR1073737
  12. Pečarić J. E., Dragomir S. S., Some inequаlities for quаsi-lineаr functionаls, Punime Mat. 4 (1989), 37-41. (1989) 
  13. Riesz F., Nagy B. Sz., Functionаl Anаlysis, Translated from the 2nd French edition by Leo F. Boron, Frederick Ungar Pub. Co. (1965). (1965) 

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