Induced convexity and the problem of the induced best approximation

Authors

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

DOI:

https://doi.org/10.33993/jnaat301-681
Abstract views: 183

Abstract

In this paper the problem of the "induced best approximation of an element" of an arbitrary set X by elements of an induced seg-convex subset A of X is discussed.

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References

L. Blaga and L. Lupşa, Convexity space with respect to a given set, In J. P. Crouzeix, J. E. Martinez-Legaz, M. Volle (Eds.): Generalized Convexity, Generalized Monotonicity, Kluwer Academic Publishers, Dordrecht/Boston/London (1998), 199-208, https://doi.org/10.1007/978-1-4613-3341-8_7 DOI: https://doi.org/10.1007/978-1-4613-3341-8_7

G. Cristescu, Behaviours - implications and applications in convexity recognition and in topology, Monographical Booklets in Applied and Computer Mathematics, MB-14, PAMM, Technical University of Budapest, PAMM - Centre, Budapest, 2000.

L. Lupşa, ((S,s),(Λi)i∈I,M,r) convex sets, Analele Universităţii "Aurel Vlaicu" din Arad, Seria Matematică, Fascicola Matematică - Informatică (2000) 98-103.

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Published

2001-02-01

How to Cite

Lupşa, L., & Cristescu, G. (2001). Induced convexity and the problem of the induced best approximation. Rev. Anal. Numér. Théor. Approx., 30(1), 55–59. https://doi.org/10.33993/jnaat301-681

Issue

Vol. 30 No. 1 (2001)

Section

Articles

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

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