On the hierarchy of convexity of functions

Authors

  • Gh. Toader Polytechnic Institute, Cluj-Napoca, Romania
Abstract views: 139

Abstract

Not available.

Downloads

Download data is not yet available.

References

Aczél, J. Lectures on functional equations and their applications. Translated by Scripta Technica, Inc. Supplemented by the author. Edited by Hansjorg Oser. Mathematics in Science and Engineering, Vol. 19 Academic Press, New York-London 1966 xx+510 pp., MR0208210.

Beckenbach, E. F. Superadditivity inequalities. Pacific J. Math. 14 1964, pp. 421-438, MR0163996, https://doi.org/10.2140/pjm.1964.14.421

Boyd, D., Review 480 (I.B. Laković: On convexity of arithmetic integral mean, Publ. Elektrotehn. Fak. Univ. Beograd, 381-409 (1972), 117-120, Math. Rev. 18(1974), 1, 91.

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

Hille, Einar; Phillips, Ralph S. Functional analysis and semi-groups. rev. ed. American Mathematical Society Colloquium Publications, vol. 31. American Mathematical Society, Providence, R. I., 1957. xii+808 pp., MR0089373.

Mocanu, Constanţa Monotony of weight-means of higher order. Anal. Numér. Théor. Approx. 11 (1982), no. 1-2, pp. 115-127, MR0692477.

Mocanu, C., Doctorat thesis, "Babeş-Bolyai" Univeristy, Cluj-Napoca, 1982 (in Romanian).

Toader, Gh. An integral mean that preserves some function classes. Bul. Ştiinţ. Inst. Politehn. Cluj-Napoca Ser. Mat. Mec. Apl. Construc. Maş. 27 (1984), pp. 17-20, MR0944390.

Toader, Gh. Starshaped sequences. Anal. Numér. Théor. Approx. 14 (1985), no. 2, 147-151, MR0850736.

Downloads

Published

1986-08-01

How to Cite

Toader, G. (1986). On the hierarchy of convexity of functions. Anal. Numér. Théor. Approx., 15(2), 167–172. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1986-vol15-no2-art12

Issue

Section

Articles