On equivalence of different moduli of smoothness on the sphere
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Investigations in the theory of differentiable functions of many variables and its applications. Part 16, Tome 204 (1993), pp. 274-304.

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     author = {Kh. P. Rustamov},
     title = {On equivalence of different moduli of smoothness on the sphere},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {274--304},
     publisher = {mathdoc},
     volume = {204},
     year = {1993},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_1993_204_a14/}
}
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Kh. P. Rustamov. On equivalence of different moduli of smoothness on the sphere. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Investigations in the theory of differentiable functions of many variables and its applications. Part 16, Tome 204 (1993), pp. 274-304. http://geodesic.mathdoc.fr/item/TM_1993_204_a14/