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Local monotonicity coefficients in Orlicz sequence spaces equipped with the p-Amemiya norm.
- Source :
- Journal of Inequalities & Applications; 2/14/2020, Vol. 2020 Issue 1, p1-15, 15p
- Publication Year :
- 2020
-
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. [ABSTRACT FROM AUTHOR]
- Subjects :
- SEQUENCE spaces
ORLICZ spaces
MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 10255834
- Volume :
- 2020
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Journal of Inequalities & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 141752844
- Full Text :
- https://doi.org/10.1186/s13660-020-2291-4