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 “On generalized inequalities of Heinz, Halmos and Bernstein.”
Necessary and sufficient conditions for the Bernstein inequality.
Same Bernstein-type construction and its applications
Balcerzak, Marek (2015-12-08T11:33:48Z)
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An extension of the generalized Bernstein lemma
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An extremal problem for Bernstein polynomials.
Gavrea, Ioan, Kacsó, Daniela (1998)
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Bernstein's comparison theorem and a problem of Braess.
A. Pinkus (1981)
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Bernstein classes
N. Roytwarf, Yosef Yomdin (1997)
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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...
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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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.