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

Year 2013, Volume: 62 Issue: 1, 33 - 43, 01.02.2013

Medine Yeşilkayagil Feyzi Başar

https://doi.org/10.1501/Commua1_0000000684

Cited By: 1

Abstract

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.

Keywords

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

References

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

Year 2013, Volume: 62 Issue: 1, 33 - 43, 01.02.2013

Medine Yeşilkayagil Feyzi Başar

https://doi.org/10.1501/Commua1_0000000684

Cited By: 1

Abstract

References

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

There are 13 citations in total.

Details

Primary Language	English
Journal Section	Research Articles
Authors	Medine Yeşilkayagil This is me Feyzi Başar This is me
Publication Date	February 1, 2013
Published in Issue	Year 2013 Volume: 62 Issue: 1

Cite

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. February 2013;62(1):33-43. doi:10.1501/Commua1_0000000684
Chicago	Yeşilkayagil, Medine, and Feyzi Başar. “COMPOSITE DUAL SUMMABILITY METHODS OF THE NEW SORT”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 62, no. 1 (February 2013): 33-43. https://doi.org/10.1501/Commua1_0000000684.
EndNote	Yeşilkayagil M, Başar F (February 1, 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 and F. Başar, “COMPOSITE DUAL SUMMABILITY METHODS OF THE NEW SORT”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 62, no. 1, pp. 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 (February 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 and Feyzi Başar. “COMPOSITE DUAL SUMMABILITY METHODS OF THE NEW SORT”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 62, no. 1, 2013, pp. 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.