Diskretnaya Matematika, Tome 7 (1995) no. 3, pp. 81-88
Citer cet article
V. A. Yudin. Coverings of a sphere, and extremal properties of orthogonal polynomials. Diskretnaya Matematika, Tome 7 (1995) no. 3, pp. 81-88. http://geodesic.mathdoc.fr/item/DM_1995_7_3_a7/
@article{DM_1995_7_3_a7,
author = {V. A. Yudin},
title = {Coverings of a sphere, and extremal properties of orthogonal polynomials},
journal = {Diskretnaya Matematika},
pages = {81--88},
year = {1995},
volume = {7},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/DM_1995_7_3_a7/}
}
TY - JOUR
AU - V. A. Yudin
TI - Coverings of a sphere, and extremal properties of orthogonal polynomials
JO - Diskretnaya Matematika
PY - 1995
SP - 81
EP - 88
VL - 7
IS - 3
UR - http://geodesic.mathdoc.fr/item/DM_1995_7_3_a7/
LA - ru
ID - DM_1995_7_3_a7
ER -
%0 Journal Article
%A V. A. Yudin
%T Coverings of a sphere, and extremal properties of orthogonal polynomials
%J Diskretnaya Matematika
%D 1995
%P 81-88
%V 7
%N 3
%U http://geodesic.mathdoc.fr/item/DM_1995_7_3_a7/
%G ru
%F DM_1995_7_3_a7
We present a method of covering a multidimensional sphere by spherical caps based on spherical designs. The following extremal problem is solved: for which greatest $\eta$ a polynomial over the Gegenbauer system with the zero coefficient equal to $0$ is non-negative on $[-1;\eta]$?
