Some generalizations of the space of -bounded variation sequences
✍ Scribed by F. Başar; B. Altay; M. Mursaleen
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 332 KB
- Volume
- 68
- Category
- Article
- ISSN
- 0362-546X
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📜 SIMILAR VOLUMES
In this paper we have introduced the notion of fuzzy real-valued bounded variation double sequence space 2 b v F . We have studied some of its properties like convergence free, solidness, symmetricity, monotonicity, etc. We have proved some inclusion results too.
~t ~s i ## I l -i s n R arbitrary The function 11./1 is a norm on the set V , of all functions f wit,h f ( 0 ) = 0. supplied with this norm I ; , is a BAXACH space. For p=-1 set ct,(f) = Iim sup ( lf(ti) -/(ti -,) i p)i 'p
## Abstract Let __I__, __J__ ⊂ ℝ be intervals. The main result says that if a superposition operator __H__ generated by a function of two variables __h__: __I__ × __J__ → ℝ, __H__ (__φ__)(__x__) ≔ __h__ (__x__, __φ__ (__x__)), maps the set __BV__ (__I__, __J__) of all bounded variation functions,