Necessary and sufficient conditions for the Bernstein inequality.
Kim, Kiwon (1995)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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Displaying similar documents to “The Bernstein Theorem in Higher Dimensions”
Necessary and sufficient conditions for the Bernstein inequality.
Same Bernstein-type construction and its applications
Balcerzak, Marek (2015-12-08T11:33:48Z)
Acta Universitatis Lodziensis. Folia Mathematica
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On the operator of Bleimann, Butzer and Hahn.
Ivan, Mircea (1998)
General Mathematics
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A Note on a Result of Zolotarev and Bernstein.
A.R. Reddy (1977)
Manuscripta mathematica
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An extension of the generalized Bernstein lemma
Joseph L. Walsh (1967)
Colloquium Mathematicae
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The Lower Estimate for Bernstein Operator
Gal, Sorin G., Tachev, Gancho T. (2013)
Mathematica Balkanica New Series
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MSC 2010: 41A10, 41A15, 41A25, 41A36 For functions belonging to the classes C2[0; 1] and C3[0; 1], we establish the lower estimate with an explicit constant in approximation by Bernstein polynomials in terms of the second order Ditzian-Totik modulus of smoothness. Several applications to some concrete examples of functions are presented.
The second order modulus again: some still (?) open problems.
Gonska, Heiner (1998)
General Mathematics
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On the degree of approximation by Bernstein operators.
Păltănea, Radu (1998)
General Mathematics
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An extremal problem for Bernstein polynomials.
Gavrea, Ioan, Kacsó, Daniela (1998)
General Mathematics
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Weighted Approximation by a Class of Bernstein-Type Operators
Parvanov, Parvan E. (2011)
Mathematica Balkanica New Series
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AMS classification: 41A36, 41A10, 41A25, 41Al7.
Bernstein's comparison theorem and a problem of Braess.
A. Pinkus (1981)
Aequationes mathematicae
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Erratum to the paper : “Déformations à nombre de Milnor constant: quelques résultats sur les polynômes de Bernstein”
Françoise Geandier (1991)
Compositio Mathematica
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Bernstein's Constant And Best Approximatioin On [0, ∞)
R. Bojanić, J. M. Elkins (1975)
Publications de l'Institut Mathématique
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On generalized inequalities of Heinz, Halmos and Bernstein.
Lin, C.-S. (2003)
Publications de l'Institut Mathématique. Nouvelle Série
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On the Degre of L1-aproximation by Modified Bernstein Polynomials
Suresh Prasad Singh, O.P. Varshney, Govind Prasad (1983)
Publications de l'Institut Mathématique
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Bernstein classes
N. Roytwarf, Yosef Yomdin (1997)
Annales de l'institut Fourier
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One of the classical Bernstein inequalities compares the maxima of a polynomial of a given degree on the interval [-1,1] and on the ellipse in the complex plane with the focuses -1, 1 and the semiaxes . We prove a similar inequality for a branch of an algebraic function of a given degree on the maximal disk of its regularity, with the explicitly given constant, depending on the degree only. In particular, this improves a recent inequality of Fefferman and Narasimhan and answers one...