Monotonicity Preserving Matrices

FATMA Aydın Akgün; Sameerah Mahmood Mohammed; Billy Rhoades

doi:10.16984/saufenbilder.292334

Araştırma Makalesi

Monotonluğu Koruyan Matrisler

Yıl 2017, , 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, , 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

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.