Reduced moduli and inequalities for the polynomials
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 16, Tome 263 (2000), pp. 70-83
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We apply the technique of generalized reduced modules in the proof of some inequalities for polynomials. Various estimates of the module of the derivative are obtained in terms of the module of the polynomial, of its leading coefficient, of the distribution of zeros, or of images of critical points.
@article{ZNSL_2000_263_a6,
author = {V. N. Dubinin and V. Yu. Kim},
title = {Reduced moduli and inequalities for the polynomials},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {70--83},
year = {2000},
volume = {263},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2000_263_a6/}
}
V. N. Dubinin; V. Yu. Kim. Reduced moduli and inequalities for the polynomials. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 16, Tome 263 (2000), pp. 70-83. http://geodesic.mathdoc.fr/item/ZNSL_2000_263_a6/