Same Bernstein-type construction and its applications
Balcerzak, Marek (2015-12-08T11:33:48Z)
Acta Universitatis Lodziensis. Folia Mathematica
Similarity:
Balcerzak, Marek (2015-12-08T11:33:48Z)
Acta Universitatis Lodziensis. Folia Mathematica
Similarity:
Kim, Kiwon (1995)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
Similarity:
Ivan, Mircea (1998)
General Mathematics
Similarity:
Joseph L. Walsh (1967)
Colloquium Mathematicae
Similarity:
Gonska, Heiner (1998)
General Mathematics
Similarity:
N. Roytwarf, Yosef Yomdin (1997)
Annales de l'institut Fourier
Similarity:
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...
Păltănea, Radu (1998)
General Mathematics
Similarity:
Gavrea, Ioan, Kacsó, Daniela (1998)
General Mathematics
Similarity:
Grigorian, S.A., Gumerov, R.N. (2002)
Lobachevskii Journal of Mathematics
Similarity:
Gal, Sorin G., Tachev, Gancho T. (2013)
Mathematica Balkanica New Series
Similarity:
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.
A. Pinkus (1981)
Aequationes mathematicae
Similarity:
Lin, C.-S. (2003)
Publications de l'Institut Mathématique. Nouvelle Série
Similarity: