Simultaneous approximation of several linear forms
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (1983), pp. 44-47
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We study a generalization of a multi-dimensional Pade's problem and a problem on one linear form. We find the orthogonality relations and some sufficient conditionsfor the uniqueness of the solution. In the fable of solutions we select a sequence of a special type. For this sequence we introduce the notion of the normal indices and obtain some recurrence relations.
@article{VMUMM_1983_1_a11,
author = {V. N. Sorokin},
title = {Simultaneous approximation of several linear forms},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {44--47},
year = {1983},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_1983_1_a11/}
}
V. N. Sorokin. Simultaneous approximation of several linear forms. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (1983), pp. 44-47. http://geodesic.mathdoc.fr/item/VMUMM_1983_1_a11/