On Arrangements of Real Roots of a Real Polynomial and Its Derivatives

Kostov, Vladimir. "On Arrangements of Real Roots of a Real Polynomial and Its Derivatives." Serdica Mathematical Journal 29.1 (2003): 65-74. <http://eudml.org/doc/219514>.

@article{Kostov2003,
abstract = {2000 Mathematics Subject Classification: 12D10.We prove that all arrangements (consistent with the Rolle theorem and some other natural restrictions) of the real roots of a real polynomial and of its s-th derivative are realized by real polynomials.},
author = {Kostov, Vladimir},
journal = {Serdica Mathematical Journal},
keywords = {Arrangement of Roots; arrangements of roots of real polynomials; theorem of Rolle},
language = {eng},
number = {1},
pages = {65-74},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {On Arrangements of Real Roots of a Real Polynomial and Its Derivatives},
url = {http://eudml.org/doc/219514},
volume = {29},
year = {2003},
}

TY - JOUR
AU - Kostov, Vladimir
TI - On Arrangements of Real Roots of a Real Polynomial and Its Derivatives
JO - Serdica Mathematical Journal
PY - 2003
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 29
IS - 1
SP - 65
EP - 74
AB - 2000 Mathematics Subject Classification: 12D10.We prove that all arrangements (consistent with the Rolle theorem and some other natural restrictions) of the real roots of a real polynomial and of its s-th derivative are realized by real polynomials.
LA - eng
KW - Arrangement of Roots; arrangements of roots of real polynomials; theorem of Rolle
UR - http://eudml.org/doc/219514
ER -