论文标题

Musielak-Orlicz类型空间中函数的直接和反近似定理

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

论文作者

Abdullayev, Fahreddin, Chaichenko, Stanislav, Shidlich, Andrii

论文摘要

在musilak-orlicz类型中,$ {\ mathcal s} _ {\ bf m} $,直接和反近似定理是根据功能的最佳近似值和平滑度的广义模量获得的。研究了杰克逊型不平等中确切常数的问题。

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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