A note on starshapedness preserving linear operators

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  • J. A. Roulier North Carolina State University, North Carolina, USA
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References

Bojanic, R., Roulier, J., Approximation of convex functions by convex splines and convexity preserving continuous linear operators. Rev. Anal. Numér. Théorie Approximation 3 (1974), no. 2, 143-150 (1975), MR0377354.

Karlin, Samuel, Studden, William 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.

Karlin, S., Total positivity. Vol. I. Stanford University Press, Stanford, Calif 1968 xii+576 pp., MR0230102.

Lupaş, L., On starshapedness preserving properties of a class of linear positive operators. Mathematica (Cluj) 12(35) (1970), 105-109, MR0296568.

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

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Published

1974-02-01

How to Cite

Roulier, J. A. (1974). A note on starshapedness preserving linear operators. Rev. Anal. Numér. Théorie Approximation, 3(1), 89–92. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1974-vol3-no1-art11

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Vol. 3 No. 1 (1974)

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

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