Abstract
Negatif olmayan üçgensel ve üçgensel
olmayan matris dönüşümlerinin çok geniş bir ailesi için, monoton azalan
dizilerin monoton azalan dizilere dönüşebilmesi koşullarını elde ettik.
Keywords
Monoton azalan diziler faktöryellenebilen matrisler genelleştirilmiş Hausdorff matrisleri Nörlund matrisleri toplanabilme matrisleri
References
- G. Bennett, “Monotonicity preserving matrices”, Analysis, 24, 317-327, 2004.
- E. Endl, “Untersuchungen ¨uber Momentprobleme bei Verfahren vom Hausdorffschen typus”, Math. Anal. 139, 403-422, 1960.
- G. H. Hardy, Divergent Series. Oxford at the Clarendon Press, 1949.
- F. Hausdorff, “Summationsmethoden und Momentfolgen, I”, Math. Z. 9, 74-109, 1921.
- F. Hausdorff, “Summationsmethoden und Momentfolgen, II”, Math. Z. 9, 280-299, 1921.
- A. Jakimovski, “The product of summability methods; new classes of transformations and their properties”, Tech. Note, Contract No. AF61, 052-187, 1959.
Abstract
We obtain the conditions for a large class of nonnegative triangular matrix transformations to map positive monotone
decreasing sequences into positive monotone decreasing sequences.
Keywords
Monotone decreasing sequences generalized Hausdorff matrices Upper traingular matrices summability matrices.
References
- G. Bennett, “Monotonicity preserving matrices”, Analysis, 24, 317-327, 2004.
- E. Endl, “Untersuchungen ¨uber Momentprobleme bei Verfahren vom Hausdorffschen typus”, Math. Anal. 139, 403-422, 1960.
- G. H. Hardy, Divergent Series. Oxford at the Clarendon Press, 1949.
- F. Hausdorff, “Summationsmethoden und Momentfolgen, I”, Math. Z. 9, 74-109, 1921.
- F. Hausdorff, “Summationsmethoden und Momentfolgen, II”, Math. Z. 9, 280-299, 1921.
- A. Jakimovski, “The product of summability methods; new classes of transformations and their properties”, Tech. Note, Contract No. AF61, 052-187, 1959.
Details
| Subjects | Mathematical Sciences |
|---|---|
| Journal Section | Research Articles |
| Authors | |
| Publication Date | June 1, 2017 |
| Submission Date | February 15, 2017 |
| Acceptance Date | March 27, 2017 |
| Published in Issue | Year 2017 |
Cite
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