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Monotonluğu Koruyan Matrisler

Year 2017, Volume: 21 Issue: 3, 522 - 526, 01.06.2017

FATMA Aydın Akgün , Sameerah Mahmood Mohammed Billy Rhoades

https://doi.org/10.16984/saufenbilder.292334

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.

Monotonicity Preserving Matrices

Year 2017, Volume: 21 Issue: 3, 522 - 526, 01.06.2017

FATMA Aydın Akgün , Sameerah Mahmood Mohammed Billy Rhoades

https://doi.org/10.16984/saufenbilder.292334

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.
There are 6 citations in total.

Details

Subjects Mathematical Sciences
Journal Section Research Articles
Authors

FATMA Aydın Akgün

Sameerah Mahmood Mohammed This is me

Billy Rhoades

Publication Date June 1, 2017
Submission Date February 15, 2017
Acceptance Date March 27, 2017
Published in Issue Year 2017 Volume: 21 Issue: 3

Cite

APA Aydın Akgün, F., Mahmood Mohammed, S., & Rhoades, B. (2017). Monotonicity Preserving Matrices. Sakarya University Journal of Science, 21(3), 522-526. https://doi.org/10.16984/saufenbilder.292334
AMA Aydın Akgün F, Mahmood Mohammed S, Rhoades B. Monotonicity Preserving Matrices. SAUJS. June 2017;21(3):522-526. doi:10.16984/saufenbilder.292334
Chicago Aydın Akgün, FATMA, Sameerah Mahmood Mohammed, and Billy Rhoades. “Monotonicity Preserving Matrices”. Sakarya University Journal of Science 21, no. 3 (June 2017): 522-26. https://doi.org/10.16984/saufenbilder.292334.
EndNote Aydın Akgün F, Mahmood Mohammed S, Rhoades B (June 1, 2017) Monotonicity Preserving Matrices. Sakarya University Journal of Science 21 3 522–526.
IEEE F. Aydın Akgün, S. Mahmood Mohammed, and B. Rhoades, “Monotonicity Preserving Matrices”, SAUJS, vol. 21, no. 3, pp. 522–526, 2017, doi: 10.16984/saufenbilder.292334.
ISNAD Aydın Akgün, FATMA et al. “Monotonicity Preserving Matrices”. Sakarya University Journal of Science 21/3 (June 2017), 522-526. https://doi.org/10.16984/saufenbilder.292334.
JAMA Aydın Akgün F, Mahmood Mohammed S, Rhoades B. Monotonicity Preserving Matrices. SAUJS. 2017;21:522–526.
MLA Aydın Akgün, FATMA et al. “Monotonicity Preserving Matrices”. Sakarya University Journal of Science, vol. 21, no. 3, 2017, pp. 522-6, doi:10.16984/saufenbilder.292334.
Vancouver Aydın Akgün F, Mahmood Mohammed S, Rhoades B. Monotonicity Preserving Matrices. SAUJS. 2017;21(3):522-6.
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