Generalized juxtapolynomials with some applications

Authors

  • I. Maruşciac Cluj, Romania

DOI:

https://doi.org/10.33993/jnaat11-5
Abstract views: 262

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MR0417395 (54 #5445)
Zbl 0358.30026

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References

Fejér, L., Über die Lage der Nullstellen gewisser Art Antspringen. Math. Ann., 85, 42-48, 1922 (in German), https://doi.org/10.1007/978-3-642-52605-3_6 DOI: https://doi.org/10.1007/BF01449600

Fekete, Michael, On the structure of extremal polynomials. Proc. Natl. Acad. Sci. USA 37, 95-103 (1951), Zbl 0042.01503, https://doi.org/10.1073/pnas.37.2.95 DOI: https://doi.org/10.1073/pnas.37.2.95

Gordon, Y., Properties of generalised juxtapolynomials. Isr. J. Math. 4, 177-188 (1966), Zbl 0171.03601, https://doi.org/10.1007/bf02760076 DOI: https://doi.org/10.1007/BF02760076

Grebenjuk, D.G., Polynomi nailučsego približenia, koeffitzienty kotoryh udovletvoriaiut lineinym zavisimostiam. Taskent, 1960 (in Russian).

Kolumban, I., Über die Charakterisierung der Lösungen eines optimalen Approximationsproblems. Mathematica Cluj, 10 (33), 285-291, 1968 (in German).

Lebedev, N.A.; Ryzhakov, I.Yu., Über die Chebyshevapproximation von Funktionen, die auf kompakten Mengen der komplexen Ebene stetig sind. (Russian) Vestn. Leningr. Univ. 24, No.13, Ser. Mat. Mekh. Astron. 24, No.3, 39-50 (1969), (in German) Zbl 0207.07301.

Marden, M., Location of the zeros of infrapolynomials. Am. Math. Mon. 70, 361-371 (1963), Zbl 0118.26101, https://doi.org/10.1080/00029890.1963.11987594 DOI: https://doi.org/10.1080/00029890.1963.11987594

Marusciac, I., Complement au travail 'Sur certains infrapolynomes conditionnes'. Mathematica Cluj 7(30)(1965), 283-285 (1966), (French) Zbl 0173.30903.

Marusciac, I., Une forme explicite du polynôme de meilleure approximation d'une fonction, dans le domaine complexe. Mathematica Cluj, 6 (29)(1964), 257-263 (1965), (French) Zbl 0147.06303.

Maruşciac, I., Obobscionnye infrapolinomy. Mathematica Cluj, 7, (30), 2, 263-282, 1965 (in Russian).

Maruşciac, I., Infrapolynome und Extremallösungen von Differentialgleichungen. Mathematica Cluj 9(32), 101-110 (1967), (Russian) Zbl 0161.27903.

Maruşciac, I., On the structure of restricted generalized infrapolynomials. Mathematica Cluj 12(35), 111-125 (1970), Zbl 0224.30051.

Marusciac, I., Caractérisation matricielle des juxtapolynomes généralises. Numer. Methoden Approximationstheorie, Oberwolfach 1, ISNM 16 (1971), 77-92 (1972), (French) Zbl 0244.65019, https://doi.org/10.1007/978-3-0348-5952-3_9 DOI: https://doi.org/10.1007/978-3-0348-5952-3_9

Motzkin, T.S., Walsh, J.L., Underpolynomials and infrapolynomials. Ill. J. Math. 1, 406-426 (1957), Zbl 0078.26101, https://doi.org/10.1215/ijm/1255380392 DOI: https://doi.org/10.1215/ijm/1255380392

Remez, E.I., Basis of the numerical methods in Tchebycheff's approximation, Kiev, 1969.

Smirnov, V. I., Lebedev, N. A., Konstructivnaja teorija funkcii kompleksnogo peremennogo. Moskva, 1964 (in Russian).

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Published

1972-02-01

How to Cite

Maruşciac, I. (1972). Generalized juxtapolynomials with some applications. Rev. Anal. Numér. Théorie Approximation, 1, 73–108. https://doi.org/10.33993/jnaat11-5

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