A note on the Jensen-Hadamard inequality

Authors

  • S. S. Dragomir Băile Herculane, Romania
  • J. E. Pečarić Faculty of Technology, Zagreb, Croatia
  • J. Sándor Forţeni, Harghita, Romania
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References

Artin, E., The Gamma function, Holt, Reinhart and Winston, 1964.

Hadamard, J., Etude sur les proprietes des fonctions entiéres et particulier d'une fonction consiérée par Reimann, J. Math. Pures Appl. 58 (1893), 171-215.

Janić, R.R., (Editor), Mathematička biblioteka 42 (1970), pp. 138-141.

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Jensen J.L.W.V., Sur les fonctions convexes et les inégalités entres les valeurs moyennes, Acta Math. 30 (1906), 175-193, https://doi.org/10.1007/bf02418571

Kershaw, D., Some extensions of W. Gautschi's inequalities for the Gamma function, Math. Comp. 14 (1983), 607-611, https://doi.org/10.1090/s0025-5718-1983-0717706-5

Lupaş, A., A generalization of Hadamard's inequalities for convex functions, Univ. Beograd Publ. Elektr. Fak. Ser. Mat. Fiz. No.544-No.576 (1976), 115-121.

Lupaş, A., Jensen-type inequalities in approximation theory, Gay. Mat. Perf. Met. Metod. Mat. Inf. 9, no.1, 1988, 41-48.

Mitrinović D.S.,(In coorrporation with Vasić, P.M., Analyitic Inequalities, Springer Verlag 1970.

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Sándor, J., Sur la fonction Gamma, Publ. C.R.M.P. Neuchâtel, Serie I, 21, pp.4-7, 1989.

Sándor, J., An application of the Jensen-Hadamard inequality, Nieuw Arch. Wiskunde, (to appear).

Vasić, P.M. and Locković, I.B., Notes on convex functions (I), Univ. Beog. Publ. Elektr. Fak. Ser. Mat. Fiz. No.577-No 598 (1977), 21-24.

Wang, Ch. L., and Wang, X.H., On an extension of Hadamard inequalities for convex functions, Chinese Ann. Math. 3(1982), no.5, 567-570.

Whittaker E.T., and Watson G.N., A course of modern analysis, Cambridge Univ. Press, 1969.

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Published

1990-02-01

How to Cite

Dragomir, S. S., Pečarić, J. E., & Sándor, J. (1990). A note on the Jensen-Hadamard inequality. Anal. Numér. Théor. Approx., 19(1), 29–34. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1990-vol19-no1-art5

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Vol. 19 No. 1 (1990)

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Articles

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