COMPOSITE DUAL SUMMABILITY METHODS OF THE NEW SORT

Medine Yeşilkayagil; Feyzi Başar

doi:10.1501/Commua1_0000000684

COMPOSITE DUAL SUMMABILITY METHODS OF THE NEW SORT

Yıl 2013, Cilt: 62 Sayı: 1, 33 - 43, 01.02.2013

Medine Yeşilkayagil Feyzi Başar

https://doi.org/10.1501/Commua1_0000000684

Cited By: 1

Öz

Following Altay and Ba¸sar [1], we define the duality relation of
the new sort between a pair of infinite matrices. Our focus is to study the
composite dual summability methods of the new sort and to give some inclusion
theorems.

Anahtar Kelimeler

Dual summability methods, sequence spaces, matrix transformations, composition of summability methods, inclusion theorems

Kaynakça

B. Altay, F. Ba¸sar, Some paranormed Riesz sequence spaces of non-absolute type, Southeast Asian Bull. Math. 30(5)(2006), 591–608
S. Banach, Théorie des Operations Linéaries, Warsaw, 1932.
F. Ba¸sar, Matrix transformations between certain sequence spaces of Xpand `p, Soochow J. Math. 26(2)(2000), 191–204.
F. Ba¸sar, R. Çolak, Almost-conservative matrix transformations, Doµga Mat. 13(3)(1989), –100.
B. Kuttner, On dual summability methods, Proc. Camb. Phil. Soc. 71(1972), 67–73.
G.G. Lorentz, Über Limitierungsverfahren die von einem Stieltjes-Integral abhängen, Acta Math. 79(1947), 255–272.
G. G. Lorentz, A contribution to the theory of divergent sequences, Acta Math. 80(1948), –190.
G.G. Lorentz, K. Zeller, Summation of sequences and summation of series, Proc. Amer. Math. Soc. 15(1964), 743–746.
C. Orhan, E. Öztürk, On f-regular dual summability methods, Bull. Inst. Math. Acad. Sinica (1)(1986), 99–104.
E. Öztürk, On dual summability methods, Comm. Fac. Sci. Univ. Ank. Ser. A1 Math. Statist. (1)(1976), 1–19.
G.M. Petersen, Regular Matrix Transformations, McGraw-Hill Publishing Company Lim- ited, London, 1966.
Current address :Medine Ye¸silkayagil; Department of Mathematics, U¸sak University, 1 Eylül Campus, 64200–U¸sak, TURKEY , Feyzi Ba¸sar; Department of Mathematics, Fatih University, The Hadımköy Campus, Büyükçek- mece, 34500–·Istanbul, TURKEY
E-mail address : medine.yesilkayagil@usak.edu.tr, fbasar@fatih.edu.tr. URL: http://communications.science.ankara.edu.tr/index.php?series=A1

Yıl 2013, Cilt: 62 Sayı: 1, 33 - 43, 01.02.2013

Medine Yeşilkayagil Feyzi Başar

https://doi.org/10.1501/Commua1_0000000684

Cited By: 1

Öz

Kaynakça

B. Altay, F. Ba¸sar, Some paranormed Riesz sequence spaces of non-absolute type, Southeast Asian Bull. Math. 30(5)(2006), 591–608
S. Banach, Théorie des Operations Linéaries, Warsaw, 1932.
F. Ba¸sar, Matrix transformations between certain sequence spaces of Xpand `p, Soochow J. Math. 26(2)(2000), 191–204.
F. Ba¸sar, R. Çolak, Almost-conservative matrix transformations, Doµga Mat. 13(3)(1989), –100.
B. Kuttner, On dual summability methods, Proc. Camb. Phil. Soc. 71(1972), 67–73.
G.G. Lorentz, Über Limitierungsverfahren die von einem Stieltjes-Integral abhängen, Acta Math. 79(1947), 255–272.
G. G. Lorentz, A contribution to the theory of divergent sequences, Acta Math. 80(1948), –190.
G.G. Lorentz, K. Zeller, Summation of sequences and summation of series, Proc. Amer. Math. Soc. 15(1964), 743–746.
C. Orhan, E. Öztürk, On f-regular dual summability methods, Bull. Inst. Math. Acad. Sinica (1)(1986), 99–104.
E. Öztürk, On dual summability methods, Comm. Fac. Sci. Univ. Ank. Ser. A1 Math. Statist. (1)(1976), 1–19.
G.M. Petersen, Regular Matrix Transformations, McGraw-Hill Publishing Company Lim- ited, London, 1966.
Current address :Medine Ye¸silkayagil; Department of Mathematics, U¸sak University, 1 Eylül Campus, 64200–U¸sak, TURKEY , Feyzi Ba¸sar; Department of Mathematics, Fatih University, The Hadımköy Campus, Büyükçek- mece, 34500–·Istanbul, TURKEY
E-mail address : medine.yesilkayagil@usak.edu.tr, fbasar@fatih.edu.tr. URL: http://communications.science.ankara.edu.tr/index.php?series=A1

Toplam 13 adet kaynakça vardır.

Ayrıntılar

Birincil Dil	İngilizce
Bölüm	Research Article
Yazarlar	Medine Yeşilkayagil Bu kişi benim Feyzi Başar Bu kişi benim
Yayımlanma Tarihi	1 Şubat 2013
Yayımlandığı Sayı	Yıl 2013 Cilt: 62 Sayı: 1

Kaynak Göster

APA	Yeşilkayagil, M., & Başar, F. (2013). COMPOSITE DUAL SUMMABILITY METHODS OF THE NEW SORT. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 62(1), 33-43. https://doi.org/10.1501/Commua1_0000000684
AMA	Yeşilkayagil M, Başar F. COMPOSITE DUAL SUMMABILITY METHODS OF THE NEW SORT. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. Şubat 2013;62(1):33-43. doi:10.1501/Commua1_0000000684
Chicago	Yeşilkayagil, Medine, ve Feyzi Başar. “COMPOSITE DUAL SUMMABILITY METHODS OF THE NEW SORT”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 62, sy. 1 (Şubat 2013): 33-43. https://doi.org/10.1501/Commua1_0000000684.
EndNote	Yeşilkayagil M, Başar F (01 Şubat 2013) COMPOSITE DUAL SUMMABILITY METHODS OF THE NEW SORT. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 62 1 33–43.
IEEE	M. Yeşilkayagil ve F. Başar, “COMPOSITE DUAL SUMMABILITY METHODS OF THE NEW SORT”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., c. 62, sy. 1, ss. 33–43, 2013, doi: 10.1501/Commua1_0000000684.
ISNAD	Yeşilkayagil, Medine - Başar, Feyzi. “COMPOSITE DUAL SUMMABILITY METHODS OF THE NEW SORT”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 62/1 (Şubat 2013), 33-43. https://doi.org/10.1501/Commua1_0000000684.
JAMA	Yeşilkayagil M, Başar F. COMPOSITE DUAL SUMMABILITY METHODS OF THE NEW SORT. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2013;62:33–43.
MLA	Yeşilkayagil, Medine ve Feyzi Başar. “COMPOSITE DUAL SUMMABILITY METHODS OF THE NEW SORT”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, c. 62, sy. 1, 2013, ss. 33-43, doi:10.1501/Commua1_0000000684.
Vancouver	Yeşilkayagil M, Başar F. COMPOSITE DUAL SUMMABILITY METHODS OF THE NEW SORT. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2013;62(1):33-4.