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A generalization of an inequality of V Markov to multivariate polynomials. (English) Zbl 0487.41008

MSC:
41A10 Approximation by polynomials
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References:
[1] Chebyshev (Tchebychef), P.L, ()
[2] Markov (W. Markoff), V, Über polynome, die in einem gegebenen intervalle möglichst wenig von null abweichen, Math. ann., 77, 213-258, (1916) · JFM 46.0415.01
[3] Natanson, I.P, ()
[4] Schönhage, A, Approximationstheorie, (1971), de Gruyter Berlin · Zbl 0212.41501
[5] Visser, C, A generalization of Tchebychef’s inequality to polynomials in more than one variable, Indag. math., 8, 310-311, (1946) · Zbl 0063.08077
[6] Mitrinović, D.S, Analytic inequalities, (1970), Springer-Verlag Berlin/Heidelberg/New York · Zbl 0199.38101
[7] Reimer, M, On multivariate polynomials of least deviation from zero on the unit cube, J. approx. theory, 23, 65-69, (1978) · Zbl 0386.41020
[8] Liebmann, H, Vereinfachte behandlung einiger minimalprobleme von tschebyscheff, Jber. Deutsch. math. verein., 18, 433-449, (1909) · JFM 40.0455.02
[9] Fejér, L, Über trigonometrische polynome, J. reine angew. math., 146, 53-82, (1916) · JFM 45.0406.02
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