Geodesic
Estimation of the error in convex polynomial optimization problems
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 2, pp. 200-216

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Some error estimates are presented (in terms of the objective functional) for convex polynomial optimization problems. These estimates are based on certain necessary and sufficient conditions for polynomials to have a local minimum and on a study of the properties of locally convex polynomials. 
@article{ZVMMF_1990_30_2_a3,
     author = {V. N. Nefedov},
     title = {Estimation of the error in convex polynomial optimization problems},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {200--216},
     publisher = {mathdoc},
     volume = {30},
     number = {2},
     year = {1990},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_2_a3/}
}
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V. N. Nefedov. Estimation of the error in convex polynomial optimization problems. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 2, pp. 200-216. http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_2_a3/