-bounded systems: common approach to Fisher-Micchelli's and Bernstein-Walsh's type problems.
Martirosyan, Mher, Samarchyan, Suren (2007)
Lobachevskii Journal of Mathematics
Similarity:
Martirosyan, Mher, Samarchyan, Suren (2007)
Lobachevskii Journal of Mathematics
Similarity:
Guillaume Alain (2007)
Acta Arithmetica
Similarity:
I. A. Shevchuk (1989)
Banach Center Publications
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...
R. Bojanić, J. M. Elkins (1975)
Publications de l'Institut Mathématique
Similarity:
Păltănea, Radu (1998)
General Mathematics
Similarity:
Zi-Xiao Yang, Bu-Xi Li (1990)
Compositio Mathematica
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.
Stéphane Lozier, Damien Roy (2012)
Acta Arithmetica
Similarity:
P.L. Butzer, K. Scherer (1969)
Aequationes mathematicae
Similarity:
Damien Roy (2008)
Acta Arithmetica
Similarity: