Properties of some functionals related to Jensen's inequality

Acta Mathematica Hungarica

Volumn 70, Issue 1-2, 1996, Pages 129-143

  Dragomir, S S ^a   Pecaric J ^b   Persson, L E ^c  

^a WEST UNIVERSITY OF TIMISOARA   (Romania)

^b UNIVERSITY OF ZAGREB   (Croatia)

^c LULEÅ UNIVERSITY OF TECHNOLOGY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0042917694     PISSN: 02365294     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF00113918     Document Type: Article

References (25)

1. E. F. Beckenbach and R. Bellman, Inequalities, 4th ed., Springer Verlag (Berlin, 1983).
2. P. Bullen, M. S. Mitrinović and P. M. Vasić, Means and Their inequalities, D. Reidel Publ. (1988).
3. S. S. Dragomir, An improvement of Jensen's inequality, Bull. Math. Soc. Sci. Math. Romania, 34 (1990), 291-296.
4. S. S. Dragomir, An improvement of Jensen's inequality, Mat. Bilten (Skopje), 15 (1991), 35-37.
5. S. S. Dragomir, A refinement of Jensen inequality, G. M. Metod, 10 (1989) 190-191.
6. S. S. Dragomir, Some refinements of Ky Fan's inequality, J. Math. Anal. Appl., 163 (1992), 317-321.
7. S. S. Dragomir, Some refinements of Jensen's inequality, J. Math. Anal. Appl., 168 (1992), 518-522.
8. S. S. Dragomir and S. Z. Arslanagić, An improvement of Cauchy-Buniakowski-Schwarz's inequality, Math. Bitten (to appear).
9. S. S. Dragomir and N. M. Ionescu, A new refinement of Jensen's inequality, Anal. Num. Theor. Approx., 20 (1991), 39-41.
10. S. S. Dragomir and N. M. Ionescu, On some inequalities for convex-dominated functions, Anal. Num. Theor. Approx., 19 (1990), 21-28.
11. S. S. Dragomir and N. M. Ionescu, Some remarks on convex functions, Anal. Num. Theor. Approx., 21 (1992), 31-35.
12. S. S. Dragomir and J. Sándor, Some inequalities for uniformly convex spaces, Mathematica (Cluj), 34 (1992), 133-138.
13. W. N. Everitt, On the Hölder inequality, J. London Math. Soc., 36 (1961), 145-158.
14. L. Malingranda and L. E. Persson, Generalized duality of some Banach function spaces, Indagationes Math., 51 (1989), 323-338.
15. D. S. Mitrinović, Analytic Inequalities, Springer Verlag (Berlin, 1970).
16. D. S. Mitrinović, J. E. Pečarić and A. M. Fink, Classical and New Inequalities in Analysis, Kluwer Acad. Publ. (1993).
17. D. S. Mitrinović, J. E. Pečarić and L. E. Persson, On a general inequality with applications, Zeit, für Anal. und Anw., 2 (1992), 285-290.
18. J. E. Pečarić, Improvements of Holder's and Minkowski's inequalities, Mat. Bilten (Skopje), to appear.
19. J. E. Pečarić and S. S. Dragomir, A refinement of Jensen inequality with applications, Stud. Univ. Babes-Bolyai (Cluj), 34 (1989), 15-19.
20. J. Peetre and L. E. Persson, A general Beckenbach's inequality with applications, Pitman Research Notes in Math., Ser 211 (1989), 125-139.
21. L. E. Persson, Generalizations of some classical inequalities with applications, Teubner Texte zur Mathematik, 119, 127-148.
22. T. Strömberg, An operation connected to a Young-type inequality, Math. Nachr., 159 (1992), 227-243.
23. T. Strömberg, A study of the operation of infimal convolution, Ph. D. Thesis, Dept. of Math., Luleå University of Technology, Sweden, 1994.
24. P. M. Vasić and Z. Mijalković, On an index set function connected with Jensen inequality, Univ. Beograd Publ. Elektr. Fac. Ser. Mat. Fiz., No. 544-576 (1976), 100-112.
25. C. L. Wang, Extensions of determinal inequalities, Utilas Math., 13 (1978), 201-210.