Approximation of convex functions by convex splines and convexity preserving continuous linear operators

Authors

  • R. Bojanic Ohio, USA
  • J. Roulier North Carolina, USA
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References

Popoviciu, T., Remarques sur la conservation du signe et de la monotonie par certains polynomes d'interpolation d'une fonction d'une variable. (French) Ann. Univ. Sci. Budapest. Eötvös Sect. Math. 3-4 1960/1961 241-246, MR0133631.

Roulier, J., Linear operators invariant on nonnegative monotone functions. SIAM J. Numer. Anal. 8 1971 30-35, MR0283465, https://doi.org/10.1137/0708004

Ziegler, Z., Generalized convexity cones. Pacific J. Math. 17 1966 561-580, MR0202945, https://doi.org/10.2140/pjm.1966.17.561

Karlin, S., Studden, W. J., Tchebycheff systems: With applications in analysis and statistics. Pure and Applied Mathematics, Vol. XV Interscience Publishers John Wiley & Sons, New York-London-Sydney 1966 xviii+586 pp., MR0204922.

Popoviciu, T., Sur l'approxiamtion des fonctions convexes d'ordre supérieur, Mathematica (Cluj), 10, 49-54, 1935.

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Published

1974-08-01

How to Cite

Bojanic, R., & Roulier, J. (1974). Approximation of convex functions by convex splines and convexity preserving continuous linear operators. Rev. Anal. Numér. Théorie Approximation, 3(2), 143–150. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1974-vol3-no2-art3

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Vol. 3 No. 2 (1974)

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