Direct and inverse theorems on approximation of functions defined on a sphere in the space S (p,q)(σ m)
Abstract
We prove direct and inverse theorems on the approximation of functions defined on a sphere in the space S (p,q)(σ 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)(σ m) // Ukr. Mat. Zh. - 2007. - 59, № 7. - pp. 901-911.
Full text
