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

CUI Yun-an; GUO Tian-bao

doi:10.15938/j.jhust.2022.06.016

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

更新时间：2026-08-31

- On the Convex Coefficient of Musielak-Orlicz Sequence Space Equipped with Orlicz Norm
- Vol. 27, Issue 6, Pages: 132-136(2022)
- 作者机构：
  
  哈尔滨理工大学理学院,哈尔滨,150080
- 作者简介：
- 基金信息：
- DOI：10.15938/j.jhust.2022.06.016
  CLC： O177.3
- Published：2022
- 稿件说明：
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CUI Yun-an, GUO Tian-bao. On the Convex Coefficient of Musielak-Orlicz Sequence Space Equipped with Orlicz Norm[J]. 2022, 27(6): 132-136.
DOI：

CUI Yun-an, GUO Tian-bao. On the Convex Coefficient of Musielak-Orlicz Sequence Space Equipped with Orlicz Norm[J]. 2022, 27(6): 132-136. DOI： 10.15938/j.jhust.2022.06.016.

摘要

摘要:主要研究了赋予Orlicz范数的Musielak-Orlicz序列空间的凸系数。由于赋Orlicz范数的Musielak-Orlicz序列空间的复杂性和计算的繁琐性，至今尚未有人给出该空凸系数的计算公式。利用了一种特殊的方法给出赋Orlicz范数的Musielak-Orlicz的序列空间l oΦ的精确计算公式，从而填补了赋Orlicz范数的Musielak-Orlicz序列空间凸系数的空白。

Abstract

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.

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