Interpolating convex polynomials


In this paper we define the piecewise retarded convex interpolating polynomials and piecewise anticipated convex interpolating polynomials.

An existence theorem is proved by a generalized Young’s method.


Radu Precup
Babeş-Bolyai University, Department of Mathematics, Cluj-Napoca, Romania




Cite this paper as:

R. Precup, Interpolating convex polynomials, Anal. Numér. Théor. Approx., 10 (1981) no. 2, pp. 205-209.

About this paper

Mathematica – Revue d’Analyse Numerique et de la Theorie de l’Approximation
L’Analyse Numérique et la Théorie de l’Approximation
Publisher Name

Academia Republicii S.R.

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MR: 83k:41005.

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[1] Young, S., Piecewise monotone interpolations. Bull. Amer. Math. Soc., 73, 642-643, 1967,

[2] Iliev, G. L., Exact estimates for monotone interpolation. J. Approx. Theory 28 (1980), no. 2, 101-112, MR0573325,

[3] Ivan, M., Polinoame de interpolare monotone, Lucrările seminarului itinerant de ecuaţii funcţionale, aproximare şi convexitate, Timişoara 1980.


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