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arXiv · 2004.09807

Direct and inverse approximation theorems of functions in the Musielak-Orlicz type spaces

Fahreddin Abdullayev·Stanislav Chaichenko·Andrii Shidlich
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Abstract

In Musilak-Orlicz type spaces ${\mathcal S}_{\bf M}$, direct and inverse approximation theorems are obtained in terms of the best approximations of functions and generalized moduli of smoothness. The question of the exact constants in Jackson-type inequalities is studied.

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Fahreddin Abdullayev, Stanislav Chaichenko, Andrii Shidlich. 2020-04-21. Direct and inverse approximation theorems of functions in the Musielak-Orlicz type spaces. https://doi.org/10.7153/mia-2021-24-23

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