Convex functions of order n on undirected networks

Authors

  • Daniela Marian Cluj-Napoca, Romania

DOI:

https://doi.org/10.33993/jnaat292-665
Abstract views: 197

Abstract

In this paper we introduce the convex (nonconcave, polynomial, nonconvex, respective concave) functions of order \(n\) on undirected networks. We study some properties of them. Finally we frame these functions in allure theory introduced by E. Popoviciu (1983). We adopt the definition of network as metric space introduced by P. M. Dearing and R. L. Francis (1974).

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References

P. M. Dearing, R. L. Francis, A minimax location problem on a network, Transportation Science 8 (1974), 333-343, https://doi.org/10.1287/trsc.8.4.333 DOI: https://doi.org/10.1287/trsc.8.4.333

P. M. Dearing, R. L. Francis, T. J. Lowe, Convex location problems on tree networks, Oper. Res. 24 (1976), 628-634, https://doi.org/10.1287/opre.24.4.628 DOI: https://doi.org/10.1287/opre.24.4.628

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T. Popoviciu, Les Fonctions Convexes, Herman, Actualités Scientifiques et Industrielles, Paris, 1945.

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Published

2000-08-01

How to Cite

Marian, D. (2000). Convex functions of order n on undirected networks. Rev. Anal. Numér. Théor. Approx., 29(2), 151–160. https://doi.org/10.33993/jnaat292-665

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