Convexity and functionals

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  • Gh. Toader Polytechnic Institute, Cluj-Napoca, Romania
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References

A. M. Bruckner, E. Ostrow, Some function classes related to the class of convex functions. Pacific J. Math. 12 1962 1203-1215, MR0148822, https://doi.org/10.2140/pjm.1962.12.1203

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D. Jovan Kečkić, Some inequalities for convex functions of order n. Mat. Vesnik 7 (22) 1970 61-67, MR0269791.

M. Petrović, Sur une fonctionnelle, Publ. Math. Univ. Belgrade 1 (1932), pp. 149-156.

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Gh. Toader, On the hierarchy of convexity of functions, Anal, Numer. Th. Approx., 15 (1986), pp. 167-172.

Gh.Toader, On a general type of convexity. Studia Univ. Babeş-Bolyai Math. 31 (1986), no. 4, 37-40, MR0911872.

Gh. Toader, Some generalizations of Jessen's inequality. Anal. Numér. Théor. Approx. 16 (1987), no. 2, 191-194, MR0986104.

Gh. Toader, On a generalization of the convexity. Mathematica (Cluj) 30(53) (1988), no. 1, 83-87, MR0986923.

Gh. Toader, On a theorem of Tiberiu Popoviciu. Itinerant Seminar on Functional Equations, Approximation and Convexity (Cluj-Napoca, 1989), 305-310, Preprint, 89-6, Univ. "Babeş-Bolyai", Cluj-Napoca, 1989, MR1046671.

Petar M. Vasić, Les inégalités pour les fonctions convexes d'ordre n. (French) Mat. Vesnik 5 (20) 1968 327-331, MR0241586.

Petar M. Vasić, Ivan B. Lacković, Notes on convex functions. II. On continuous linear operators defined on a cone of convex functions. Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. Fiz. No. 602-633 (1978), 53-59 (1979), MR0580422.

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Published

1989-08-01

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How to Cite

Toader, G. (1989). Convexity and functionals. Anal. Numér. Théor. Approx., 18(2), 183-189. https://ictp.acad.ro/jnaat/journal/article/view/1989-vol18-no2-art9