Araştırma Makalesi
BibTex RIS Kaynak Göster

Monotonluğu Koruyan Matrisler

Yıl 2017, Cilt: 21 Sayı: 3, 522 - 526, 01.06.2017

FATMA Aydın Akgün , Sameerah Mahmood Mohammed Billy Rhoades

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

Öz

Negatif olmayan üçgensel ve üçgensel
olmayan matris dönüşümlerinin çok geniş bir ailesi için, monoton azalan
dizilerin monoton azalan dizilere dönüşebilmesi koşullarını elde ettik. 

Anahtar Kelimeler

Monoton azalan diziler faktöryellenebilen matrisler genelleştirilmiş Hausdorff matrisleri Nörlund matrisleri toplanabilme matrisleri

Kaynakça

  • 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

Yıl 2017, Cilt: 21 Sayı: 3, 522 - 526, 01.06.2017

FATMA Aydın Akgün , Sameerah Mahmood Mohammed Billy Rhoades

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

Öz

We obtain the conditions for a large class of nonnegative triangular matrix transformations to map positive monotone
decreasing sequences into positive monotone decreasing sequences.  

Anahtar Kelimeler

Monotone decreasing sequences generalized Hausdorff matrices Upper traingular matrices summability matrices.

Kaynakça

  • 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.
Toplam 6 adet kaynakça vardır.

Ayrıntılar

Konular Matematik
Bölüm Araştırma Makalesi
Yazarlar

FATMA Aydın Akgün

Sameerah Mahmood Mohammed Bu kişi benim

Billy Rhoades

Yayımlanma Tarihi 1 Haziran 2017
Gönderilme Tarihi 15 Şubat 2017
Kabul Tarihi 27 Mart 2017
Yayımlandığı Sayı Yıl 2017 Cilt: 21 Sayı: 3

Kaynak Göster

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. Haziran 2017;21(3):522-526. doi:10.16984/saufenbilder.292334
Chicago Aydın Akgün, FATMA, Sameerah Mahmood Mohammed, ve Billy Rhoades. “Monotonicity Preserving Matrices”. Sakarya University Journal of Science 21, sy. 3 (Haziran 2017): 522-26. https://doi.org/10.16984/saufenbilder.292334.
EndNote Aydın Akgün F, Mahmood Mohammed S, Rhoades B (01 Haziran 2017) Monotonicity Preserving Matrices. Sakarya University Journal of Science 21 3 522–526.
IEEE F. Aydın Akgün, S. Mahmood Mohammed, ve B. Rhoades, “Monotonicity Preserving Matrices”, SAUJS, c. 21, sy. 3, ss. 522–526, 2017, doi: 10.16984/saufenbilder.292334.
ISNAD Aydın Akgün, FATMA vd. “Monotonicity Preserving Matrices”. Sakarya University Journal of Science 21/3 (Haziran 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 vd. “Monotonicity Preserving Matrices”. Sakarya University Journal of Science, c. 21, sy. 3, 2017, ss. 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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