2017
Том 69
№ 9

All Issues

Direct and inverse theorems on approximation of functions defined on a sphere in the space S (p,q) m)

Lasuriya R. A.

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Abstract

We prove direct and inverse theorems on the approximation of functions defined on a sphere in the space S (p,q) m), m > 3, in terms of the best approximations and modules of continuity. We consider constructive characteristics of functional classes defined by majorants of modules of continuity of their elements.

English version (Springer): Ukrainian Mathematical Journal 59 (2007), no. 7, pp 996-1009.

Citation Example: Lasuriya R. A. Direct and inverse theorems on approximation of functions defined on a sphere in the space S (p,q) m) // Ukr. Mat. Zh. - 2007. - 59, № 7. - pp. 901-911.

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