Geodesic
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
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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. 
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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/

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