Some concepts of generalized convex functions (I)

Authors

  • Liana Lupşa “Babes-Bolyai” University, Cluj-Napoca, Romania
  • Gabriela Cristescu “Aurel Vlaicu” University of Arad, Romania

DOI:

https://doi.org/10.33993/jnaat312-721

Keywords:

generalized convex functions, generalized partial convex functions
Abstract views: 159

Abstract

An extension of the concept of convex function is given in a very general framework provided by a set in which a general convexity for its subsets is defined.

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References

Aleman, A., On some generalizations of convex sets and convex functions, Mathema-ti-ca - Rev. d'Anal. Numér. de Théor. de l'Approx., Ser. L'Anal. Numér. et la Théor. de l'Approx., 14, pp. 1-6, 1985, http://ictp.acad.ro/jnaat/journal/article/view/1985-vol14-no1-art1

Cristescu, G., Generalised convex functions and related convex programming, in Military Technical Academy, The XXIXth Scientific Communications Meeting with International Participation "Modern Technologies in the XXIth Century", Section Mathematics and Physics, Subsection 1 Mathematics, Bucharest, November 15-16 2001. Bucharest: Military Technical Academy Publishing House, pp. 85-88, 2001.

Cristescu, G. and Lupşa, L., On a class of convexity properties applied in mathematical programming, Bulletins for Applied & Computer Mathematics, Budapest, BAM-1792 XCIV, pp. 151-160, 2001.

Cristescu, G. and Lupşa, L., Classes of (a,e)-((S,s),R) convexities, Bulletins for Applied and Computer Mathematics, Budapest, BAM-1902/2001 XCVII-C/'01, pp. 115-124, 2001.

Cristescu, G. and Lupşa, L., Three classes of generalised convexiy properties, Proc. Nineth Symp. Math. Appl., November 2-4, Timişoara, Politehnica University of Timişoara Publishing House, pp. 67-74, 2001.

Lupşa, L., On strong convex mappings with respect to a given set, in Itinerant Seminar of Functional Equations, Approximation and Convexity, 1982, October 20-22, Cluj-Napoca, Babeş-Bolyai University Publishing House, 1982, pp. 181-185 (in Romanian).

Lupşa, L. and Cristescu, G., About of general notion of convexity, Proceedings of the "Tiberiu Popoviciu" Itinerant Seminar of Functional Equations, Approximation and Convexity, Cluj-Napoca, SRIMA, pp. 81-88, 2001.

Moldovan, E., On a generalization of the notion of convexity, Scientific Studies and Reserches, Series Mathematics., Cluj, VI, 3-4, pp. 65-73, 1955 (in Romanian).

Popoviciu, E., Mean Theorems in Mathematical Analysis and their connection with the Interpolation Theory, Dacia Publishing House, Cluj-Napoca, 1972 (in Romanian).

Popoviciu, T., Sur quelques propriétés des fonctions d'une ou de deux variables réelles, Mathematica, Cluj, VIII, pp. 1-85, 1933.

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Published

2002-08-01

How to Cite

Lupşa, L., & Cristescu, G. (2002). Some concepts of generalized convex functions (I). Rev. Anal. Numér. Théor. Approx., 31(2), 171–177. https://doi.org/10.33993/jnaat312-721

Issue

Vol. 31 No. 2 (2002)

Section

Articles

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Copyright (c) 2015 Journal of Numerical Analysis and Approximation Theory

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