JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2020, Vol. 55 ›› Issue (2): 43-47.doi: 10.6040/j.issn.1671-9352.0.2019.129

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k-uniform rotund points in Orlicz sequence spaces equipped with the generalized Orlicz norm

DUAN Li-fen1, ZUO Ming-xia2   

  1. 1. School of Mathematics, Tonghua Teachers University, Tonghua 134002, Jilin, China;
    2. School of Sciences, Harbin University of Science and Technology, Harbin 150080, Heilongjiang, China
  • Published:2020-02-14

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Abstract: Using the characteristics of the generalized Orlicz norm and techniques for dealing with sequence space theory, k-uniform rotund points of the Orlicz sequence spaces equipped with the generalized Orlicz norm are discussed. The criterion of k-uniform rotund points in above spaces is given. And both sufficient and necessary conditions are obtained to make above spaces be locally k-uniform rotund.

Key words: Orlicz sequence space, generalized Orlicz norm, k-uniform rotund point, locally k-uniform rotundity

CLC Number: 

  • O177.3
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