Geodesic
Inequalities for derivatives of rational functions on several intervals
Izvestiya. Mathematics , Tome 68 (2004) no. 3, pp. 543-565

Voir la notice de l'article provenant de la source Math-Net.Ru

We describe a solution of the problem of finding rational trigonometric functions with fixed denominator that deviate least from zero on several subintervals of the period. The resulting representation is used to prove inequalities that estimate the derivatives of rational trigonometric and algebraic functions with fixed denominator in terms of their values on several intervals. Particular cases of these inequalities include the well-known inequalities of Videnskii, Rusak, Totik and others. 
@article{IM2_2004_68_3_a6,
     author = {A. L. Lukashov},
     title = {Inequalities for derivatives of rational functions on several intervals},
     journal = {Izvestiya. Mathematics },
     pages = {543--565},
     publisher = {mathdoc},
     volume = {68},
     number = {3},
     year = {2004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2004_68_3_a6/}
}
TY  - JOUR
AU  - A. L. Lukashov
TI  - Inequalities for derivatives of rational functions on several intervals
JO  - Izvestiya. Mathematics 
PY  - 2004
SP  - 543
EP  - 565
VL  - 68
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IM2_2004_68_3_a6/
LA  - en
ID  - IM2_2004_68_3_a6
ER  - 
%0 Journal Article
%A A. L. Lukashov
%T Inequalities for derivatives of rational functions on several intervals
%J Izvestiya. Mathematics 
%D 2004
%P 543-565
%V 68
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IM2_2004_68_3_a6/
%G en
%F IM2_2004_68_3_a6
A. L. Lukashov. Inequalities for derivatives of rational functions on several intervals. Izvestiya. Mathematics , Tome 68 (2004) no. 3, pp. 543-565. http://geodesic.mathdoc.fr/item/IM2_2004_68_3_a6/