A REFINEMENT OF HADAMARD'S INEQUALITY FOR ISOTONIC LINEAR FUNCTIONALS

Main Article Content

SEVER SILVESTRU DRAGOMIR

Abstract




A refinement of Hadamard's inequality for isotonic linear functionals and some applications to norm and discrete inequalities are given.




Article Details

How to Cite
DRAGOMIR, S. S. (1993). A REFINEMENT OF HADAMARD’S INEQUALITY FOR ISOTONIC LINEAR FUNCTIONALS. Tamkang Journal of Mathematics, 24(1), 101–106. https://doi.org/10.5556/j.tkjm.24.1993.4479
Section
Papers

References

P.R . Beesack and J.E . Pecaric, "On Jessen's inequality for convex functions", J. Math. Anal. Appl., 110 (1985), 536-552.

S. S. Dragomir, J. E. Pecaric and J. Sandor, "A note on the Jensen-Hadamard inequalities", Anal. Nu.m. 1'heor. Approx., 19 (1990), 29-34.

S. S. Dragornir, "Some refinements of Hadamard's inequalities", G. M. Method. (Bucha- rest), 11 (1990), 189-191.

S. S. Dragornir, "Two refinements of Hadamard's inequalities", Coll. of Sci. Pap. of the Fae. Science, Kragujevac, 11 (1990), 23-26.

S. S. Dragomir, "A mapping in connection to Hadamard's inequalities", Anz. Osterr. Akad. Wiss. Math.- natur. Klasse, 128 (1991), 17-20.

J. Hadamard, "Etude sur les proprietes des fonctions entieres et en particulier d'unc fonction consideree par Riemann", J. Math. Pure Appl. 58 (1893), 171-215.

J. L. W. V. Jensen, "Surles fonctions convexes et les inegalites entres les valeurs rnoyenes", Acta Math. 30 (1906), 175-193.

A. Lupa.'1, "A generalization of Hadamard's inequalities for convex functions", Univ. Beograd Pu.bl. Elektr. Fak. Ser. Mat. Fiz., No. 544-No. 576 (1976), 115-121.

D. S. Mitrinovic and I. B. Lackovic, "Hermite and convexity", Aequ.at. Math., 28 (1985), 225-232.

J. Sandor, "Some integral inequalities", El. Math. 43 (1988), 177-180.

J. Sandor, "An application of the Jensen-Hadamard inequality", Nieu.w Arch. Wiskunde (to appear).