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- Title
Local monotonicity coefficients in Orlicz sequence spaces equipped with the p-Amemiya norm.
- Authors
He, Xin; Cui, Yunan; Hudzik, Henryk
- Abstract
In this paper, the monotonicity is investigated with respect to Orlicz sequence space l Φ , p equipped with the p-Amemiya norm, and the necessary and sufficient condition is obtained to guarantee the uniform monotonicity, locally uniform monotonicity, and strict monotonicity for l Φ , p . This completes the results of the paper (Cui et al. in J. Math. Anal. Appl. 432:1095–1105, 2015) which were obtained for the non-atomic measure space. Local upper and lower coefficients of monotonicity at any point of the unit sphere are calculated, l Φ , p is calculated.
- Subjects
SEQUENCE spaces; ORLICZ spaces; MATHEMATICS
- Publication
Journal of Inequalities & Applications, 2020, Vol 2020, Issue 1, p1
- ISSN
1025-5834
- Publication type
Article
- DOI
10.1186/s13660-020-2291-4