Geodesic
On extensions of Chebyshev's inequality
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 1, pp. 17-26

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

An algorithm for solving the Chebyshev–Markov moment problem is given that permits one to refine the Chebyshev-like inequalities. It is important in practical applications to be able to analyze the sensitivity of the exact upper and lower estimates to errors in the given moments. An algorithm for obtaining exact estimates is modified to allow one to calculate the derivatives of the estimates with respect to each moment. 
@article{ZVMMF_2005_45_1_a2,
     author = {Z. S. Gaeva},
     title = {On extensions of {Chebyshev's} inequality},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {17--26},
     publisher = {mathdoc},
     volume = {45},
     number = {1},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_1_a2/}
}
TY  - JOUR
AU  - Z. S. Gaeva
TI  - On extensions of Chebyshev's inequality
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2005
SP  - 17
EP  - 26
VL  - 45
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_1_a2/
LA  - ru
ID  - ZVMMF_2005_45_1_a2
ER  - 
%0 Journal Article
%A Z. S. Gaeva
%T On extensions of Chebyshev's inequality
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2005
%P 17-26
%V 45
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_1_a2/
%G ru
%F ZVMMF_2005_45_1_a2
Z. S. Gaeva. On extensions of Chebyshev's inequality. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 1, pp. 17-26. http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_1_a2/