Abstract
In this paper, we give the necessary and sufficient conditions for a linear transformation of a mean-starshaped sequence to be positive. Using this result, we obtain the necessary and sufficient conditions for a lower triangular matrix to preserve the mean-starshape of a sequence and we discuss some special cases of linear transformations. Our next result deals with the convergence of a sequence of mean-starshaped sequences to any given mean-starshaped sequence and the positivity of a linear operator on the set of mean-starshaped sequences.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 805-822 |
| Number of pages | 18 |
| Journal | Positivity |
| Volume | 20 |
| Issue number | 4 |
| DOIs | |
| State | Published - Dec 1 2016 |
All Science Journal Classification (ASJC) codes
- Analysis
- Theoretical Computer Science
- General Mathematics
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