Exact constants in direct and inverse approximation theorems of functions of several variables in the spaces S^p

Fahreddin G. Abdullayev, Viktor V. Savchuk, Andrii L Shidlich, Pelin Ozkartepe

Abstract


We find exact constants in direct and inverse approximation theorems of functions of several variable in the spaces S^p.  We also show the equivalence between moduli of smoothness and some K-functionals in the spaces S^p.

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