Bernstein-Jackson-type inequalities with exact constants in Orlicz spaces

We establish the Bernstein and Jackson type inequalities with exact constants for estimations of best approximations by exponential type functions in Orlicz spaces $L_M(\mathbb{R}^n)$. For this purpose, we use a special scale of approximation spaces $\mathcal{B}_\tau^s(M)$ that are interpolation spa...

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Bibliographic Details
Main Authors: M.I. Dmytryshyn, L.I. Dmytryshyn
Format: Article
Language:English
Published: Vasyl Stefanyk Precarpathian National University 2022-09-01
Series:Karpatsʹkì Matematičnì Publìkacìï
Subjects:
Online Access:https://journals.pnu.edu.ua/index.php/cmp/article/view/5783