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lΦo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。
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 lΦowith Orlicz norm,so as to fill the gap in the convex coefficient of the Musielak-Orlicz sequence space with Orlicz norm.
作者
崔云安
郭天保
CUI Yun-an;GUO Tian-bao(School of Sciences,Harbin University of Science and Technology,Harbin 150080,China)
出处
《哈尔滨理工大学学报》
CAS
北大核心
2022年第6期132-136,共5页
Journal of Harbin University of Science and Technology
基金
国家自然科学基金(11871181)。
关键词
凸系数
凸性模
一致凸
convexity coefficient
convexity modular
uniformly convex