Abstract
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.
Authors
Radu Precup
Babeş-Bolyai University, Department of Mathematics, Cluj-Napoca, Romania
Keywords
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Cite this paper as:
R. Precup, Interpolating convex polynomials, Anal. Numér. Théor. Approx., 10 (1981) no. 2, pp. 205-209.
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Academia Republicii S.R.
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MR: 83k:41005.
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References
[1] Young, S., Piecewise monotone interpolations. Bull. Amer. Math. Soc., 73, 642-643, 1967, https://doi.org/10.1090/s0002-9904-1967-11806-8
[2] Iliev, G. L., Exact estimates for monotone interpolation. J. Approx. Theory 28 (1980), no. 2, 101-112, MR0573325, https://doi.org/10.1016/0021-9045(80)90082-9
[3] Ivan, M., Polinoame de interpolare monotone, Lucrările seminarului itinerant de ecuaţii funcţionale, aproximare şi convexitate, Timişoara 1980.