Estimates of the degree of comonotone interpolating polynomials

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  • Radu Precup Traian Vuia High School Cluj-Napoca, Romania
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References

Young, S.W., Piecewise montone interpolations, Bull. Amer. Math. Soc., 73, 643-645, 1967, https://doi.org/10.1090/s0002-9904-1967-11806-8

Passow, Eli, Raymon, Louis, The degree of piecewise monotone interpolation. Proc. Amer. Math. Soc. 48 (1975), 409-412, MR0430608, https://doi.org/10.1090/s0002-9939-1975-0430608-4

Passow, Eli, An improved estimate of the degree of monotone interpolation. J. Approximation Theory 17 (1976), no. 2, 115-118, MR0417624, https://doi.org/10.1016/0021-9045(76)90032-0

Nikolčeva, M. G., Monotone interpolation and its application to parametric approximation. (Russian) C. R. Acad. Bulgare Sci. 29 (1976), no. 4, 469-472, MR0437986.

Nikolcěva, M., Interpolation of monotone and convex fucntions, Proceedings Intern. Conf. Constr. Funct. Th. Blagoevgrad, May 30 - June 6, 1977, Sofia 1980, 437-442.

Iliev, Georgi L., Partially monotone interpolation. Serdica 4 (1978), no. 2-3, 267-276, MR0541821.

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

Ivan, M., Polinoame de itnerpolare monotone, Lucr. Sem. Itin. Ec. Funct., Aprox., Conv., Timişoara, 7+8 nov. 1980, 119+123.

Precup, R., Estimări ale gradului polinoamelor de interpolare comonotone, Lucr. Sem. Itin. Ec. Funct., Aprox., Conv., Cluj-Napoca, 10-12 dec.1981, 321-326.

Yosida, Kôsaku, Functional analysis. Die Grundlehren der Mathematischen Wissenschaften, Band 123 Academic Press, Inc., New York; Springer-Verlag, Berlin 1965 xi+458 pp., MR0180824.

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Published

1982-08-01

How to Cite

Precup, R. (1982). Estimates of the degree of comonotone interpolating polynomials. Anal. Numér. Théor. Approx., 11(1), 139–145. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1982-vol11-nos1-2-art16

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