Geodesic
Approximation in~$L_p$ by spherical polynomials and differential classes of functions on sphere
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Investigations in the theory of differentiable functions of many variables and its applications. Part 13, Tome 187 (1989), pp. 216-226.

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@article{TM_1989_187_a13,
     author = {A. P. Terekhin},
     title = {Approximation in~$L_p$ by spherical polynomials and differential classes of functions on sphere},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {216--226},
     publisher = {mathdoc},
     volume = {187},
     year = {1989},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_1989_187_a13/}
}
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A. P. Terekhin. Approximation in~$L_p$ by spherical polynomials and differential classes of functions on sphere. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Investigations in the theory of differentiable functions of many variables and its applications. Part 13, Tome 187 (1989), pp. 216-226. http://geodesic.mathdoc.fr/item/TM_1989_187_a13/