On the Convex Coefficient of Musielak-Orlicz Sequence Space Equipped with Orlicz Norm

This paper mainly studies the convex coefficients of the Musielak-Orlicz sequence space equipped the Orlicz norm. Due to the complexity of the Musielak-Orlicz sequence space with Orlicz norm and the cumbersome calculation, no one has yet given the calculation formula of the convex coefficient of thi...

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Bibliographic Details
Main Authors: CUI Yun-an, GUO Tian-bao
Format: Article
Language:zho
Published: Harbin University of Science and Technology Publications 2022-12-01
Series:Journal of Harbin University of Science and Technology
Subjects:
Online Access:https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=2167
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Summary:This paper mainly studies the convex coefficients of the Musielak-Orlicz sequence space equipped the Orlicz norm. Due to the complexity of the Musielak-Orlicz sequence space with Orlicz norm and the cumbersome calculation, no one has yet given the calculation formula of the convex coefficient of this space. This paper uses a special method to give an accurate calculation formula for the Musielak-Orlicz sequence space loΦ with Orlicz norm, so as to fill the gap in the convex coefficient of the Musielak-Orlicz sequence space with Orlicz norm.
ISSN:1007-2683