The integral approximation of the characteristic function of a~spherical cap by algebraic polynomials
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 16 (2010) no. 4, pp. 144-155
Voir la notice de l'article provenant de la source Math-Net.Ru
In the space $L(\mathbb S^2)$ on the unit sphere $\mathbb S^2$ of the three-dimensional Euclidean space $\mathbb R^3$, the problem on the best approximation of the characteristic function of a spherical cap by the set of algebraic polynomials of given (total) degree in three real variables with real coefficients is solved.
Keywords:
Euclidean sphere, characteristic function of a spherical cap, approximation by algebraic polynomials.
@article{TIMM_2010_16_4_a13,
author = {M. V. Deikalova},
title = {The integral approximation of the characteristic function of a~spherical cap by algebraic polynomials},
journal = {Trudy Instituta matematiki i mehaniki},
pages = {144--155},
publisher = {mathdoc},
volume = {16},
number = {4},
year = {2010},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMM_2010_16_4_a13/}
}
TY - JOUR AU - M. V. Deikalova TI - The integral approximation of the characteristic function of a~spherical cap by algebraic polynomials JO - Trudy Instituta matematiki i mehaniki PY - 2010 SP - 144 EP - 155 VL - 16 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TIMM_2010_16_4_a13/ LA - ru ID - TIMM_2010_16_4_a13 ER -
%0 Journal Article %A M. V. Deikalova %T The integral approximation of the characteristic function of a~spherical cap by algebraic polynomials %J Trudy Instituta matematiki i mehaniki %D 2010 %P 144-155 %V 16 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/TIMM_2010_16_4_a13/ %G ru %F TIMM_2010_16_4_a13
M. V. Deikalova. The integral approximation of the characteristic function of a~spherical cap by algebraic polynomials. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 16 (2010) no. 4, pp. 144-155. http://geodesic.mathdoc.fr/item/TIMM_2010_16_4_a13/