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COMPOSITE DUAL SUMMABILITY METHODS OF THE NEW SORT
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
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.
Details
Primary Language
English
Subjects
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Journal Section
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Publication Date
February 1, 2013
Submission Date
-
Acceptance Date
-
Published in Issue
Year 2013 Volume: 62 Number: 1
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
1.Yeşilkayagil M, Başar F. COMPOSITE DUAL SUMMABILITY METHODS OF THE NEW SORT. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2013;62(1):33-43. doi:10.1501/Commua1_0000000684
Chicago
Yeşilkayagil, Medine, and Feyzi Başar. 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.
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
[1]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, Feb. 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 1, 2013): 33-43. https://doi.org/10.1501/Commua1_0000000684.
JAMA
1.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, Feb. 2013, pp. 33-43, doi:10.1501/Commua1_0000000684.
Vancouver
1.Medine Yeşilkayagil, Feyzi Başar. COMPOSITE DUAL SUMMABILITY METHODS OF THE NEW SORT. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2013 Feb. 1;62(1):33-4. doi:10.1501/Commua1_0000000684