Periodica Mathematica Hungarica

, Volume 33, Issue 2, pp 93–100 | Cite as

On Jensen's inequality for a class of functions of Godunova and Levin

  • S. S. Dragomir
  • C. E. M. Pearce

Mathematics subject classification numbers, 1991

Primary 60E15 26D15 

Key words and phrases

Jensen's inequality functions of classQ 


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  1. [1]
    E. K.Godunova and V. I.Levin, Inequalities for functions of a broad class that contains convex monotone and some other forms of functions (Russian),Numerical Math. and Math. Physics (in Russian) (1985), 138–142.Google Scholar
  2. [2]
    D. S.Mitrinović and J. E.Pečarić, Note on a class of functions of Godunova and Levin,C. R. Math. Rep. Acad. Sci. Canada 12 (1990), 33–36.Google Scholar
  3. [3]
    D. S.Mitrinović, J. E.Pečarić and A. M.Fink,Classical and New Inequalities in Analysis, Kluwer Academic Publishers, Dordrecht/Boston/London, 1993.Google Scholar
  4. [4]
    J. E.Pečarić and S. S.Dragomir, A refinement of Jensen's inequality and applications,Studia Univ. Babes-Bolyai 39 (1989), 15–19.Google Scholar
  5. [5]
    G. N.Watson, Schur's inequality,Math. Gaz. 39 (1955), 207–208.Google Scholar
  6. [6]
    E. M.Wright, A generalisation of Schur's inequality,Math. Gaz. 40 (1956), 217.Google Scholar

Copyright information

© Akadémiai Kiadó 1996

Authors and Affiliations

  • S. S. Dragomir
    • 1
  • C. E. M. Pearce
    • 2
  1. 1.Faculty of MathematicsUniversity of TimişoaraTimişoaraRomania
  2. 2.Applied Mathematics DepartmentThe University of AdelaideAdelaideAustralia

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