Approximative Characteristics of Modular Orlicz Spaces
- Authors: Chaichenko S.O.1, Shydlich A.L.2
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Affiliations:
- Donbas State Pedagogical University
- Institute of Mathematics of the NAS of Ukraine
- Issue: Vol 239, No 1 (2019)
- Pages: 30-42
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242620
- DOI: https://doi.org/10.1007/s10958-019-04285-y
- ID: 242620
Cite item
Abstract
We obtain the exact values of the best approximations, basic widths and Kolmogorov widths for some sets of images of multipliers in the modular Orlicz spaces lM: We give a description of the space SM,N of all multipliers from the space lM to lN.
About the authors
Stanislav O. Chaichenko
Donbas State Pedagogical University
Author for correspondence.
Email: s.chaichenko@gmail.com
Ukraine, Slov’yansk
Andrii L. Shydlich
Institute of Mathematics of the NAS of Ukraine
Email: s.chaichenko@gmail.com
Ukraine, Kiev