Cesàro Summable Sequence Spaces over the Non-Newtonian Complex Field
The spaces ω0p, ωp, and ω∞p can be considered the sets of all sequences that are strongly summable to zero, strongly summable, and bounded, by the Cesàro method of order 1 with index p. Here we define the sets of sequences which are related to strong Cesàro summability over the non-Newtonian complex...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2016-01-01
|
| Series: | Journal of Probability and Statistics |
| Online Access: | http://dx.doi.org/10.1155/2016/5862107 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | The spaces ω0p, ωp, and ω∞p can be considered the sets of all sequences that are strongly summable to zero, strongly summable, and bounded, by the Cesàro method of order 1 with index p. Here we define the sets of sequences which are related to strong Cesàro summability over the non-Newtonian complex field by using two generator functions. Also we determine the β-duals of the new spaces and characterize matrix transformations on them into the sets of ⁎-bounded, ⁎-convergent, and ⁎-null sequences of non-Newtonian complex numbers. |
|---|---|
| ISSN: | 1687-952X 1687-9538 |