On Some Convex Functions and Related Inequalities

  • C. J. Eliezer


In this paper I would like to present some work on inequalities, which Professor D. E. Daykin of the University of Malaya and I have recently completed.


Convex Function Positive Real Number Suitable Function Relate Inequality Monthly Notice 
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  1. 1.
    G. H. Hardy, J. E. Littlewood, and G. Polya, “Inequalities,” University of California Press, 1952.Google Scholar
  2. 2.
    E. A. Milne, “Note on Rosseland’s integral for the stellar absorption coefficient,” Monthly Notices Roy. Astron. Soc. 85: 979 (1925).ADSMATHGoogle Scholar
  3. 3.
    D. K. Callebant, “Generalization of the Cauchy-Schwarz inequality,” J. Math. Anal. Appl. 12: (1965).Google Scholar
  4. 4.
    C. J. Eliezer and D. E. Daykin, “Generalizations and applications of Cauchy-Schwarz inequality,” Q. J. Math (Oxford) 18: 357 (1967).MathSciNetADSMATHCrossRefGoogle Scholar
  5. 5.
    D. E. Daykin and C. J. Eliezer, “Generalization of Hölder’s and Minkowski’s inequalities,” to appear in Proc. Camb. Phil. Soc.Google Scholar

Copyright information

© Plenum Press 1968

Authors and Affiliations

  • C. J. Eliezer
    • 1
  1. 1.University Of MalayaKuala LumpurMalaysia

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