Yıl 2014,
Cilt: 2 Sayı: 2, 125 - 128, 01.08.2014
Öz
In this paper we introduce the sequence spaces ( , , , ), Λ( , , , ) and define a semi normed space ( , ) semi normed by . We study some properties of these sequence spaces and obtain some inclusion relations
Anahtar Kelimeler
Kaynakça
- Y. Altin and M. Et, Generalized di_erence sequences spaces de_ned by a modulus function in a locally convex space, Soochow J. Math. 31(1) (2005), 233-243.
- H. I. Brown, The summability _eld of a perfect l{l method of summation, J. Anal. Math., 20 (1967), 281-287.
- R. Colak, M. Et, and E. Malkowsky, Some topics of sequence spaces, Lecture Notes in Mathematics, Firat University Press, Elazig, Turkey, 2004.
- C. Go_man and G. Pedrick, First Course in Functional Analysis, Prentice Hall India, New Delhi, 1974.
- P. K. Kamthan and M. Gupta, Sequence spaces and Series. Lecture Notes in Pure and Applied Mathematics, 65 Marcel Dekker, Inc., New York, 1981.
- I. J. Maddox, Elements of Functional Analysis, Cambridge Univ. Press, 1970.
- I. J. Maddox, Sequence spaces de_ned by a modulus, Math. Proc., Cambridge Philos. Soc. 100 (1986), 161-166.
- H. Nakano, \Concave modulars", Journal of the Mathematical Society of Japan, 5(1) (1953), 29-49.
- W. H. Ruckle, FK spaces in which the sequence of coordinate vectors is bounded, Canad. J. Math., 25 (1973), 973-978.
- S. M. Sirajudeen, Matrix Transformation of Co(P), l∞(P), lP and l into χ, Indian J. Pure Appl. Math., 12(9), (1981), 1106-1113.
- B. C. Tripathy, S. Mahanta and M. Et, On a class of generalized difference sequence space de_ned by modulus function, Hakkaido Math. Jour., XXXIV (3) (2005), 667{677.
- A. Wilansky, Functional Analysis, Blaisdell Publishing Company, New York, 1964.
- A. Wilansky, Summability through Functional Analysis, North Holland Mathematics Studies, North-Holland Publishing, Amsterdam, Vol. 85 (1984).
Yıl 2014,
Cilt: 2 Sayı: 2, 125 - 128, 01.08.2014
Öz
Kaynakça
- Y. Altin and M. Et, Generalized di_erence sequences spaces de_ned by a modulus function in a locally convex space, Soochow J. Math. 31(1) (2005), 233-243.
- H. I. Brown, The summability _eld of a perfect l{l method of summation, J. Anal. Math., 20 (1967), 281-287.
- R. Colak, M. Et, and E. Malkowsky, Some topics of sequence spaces, Lecture Notes in Mathematics, Firat University Press, Elazig, Turkey, 2004.
- C. Go_man and G. Pedrick, First Course in Functional Analysis, Prentice Hall India, New Delhi, 1974.
- P. K. Kamthan and M. Gupta, Sequence spaces and Series. Lecture Notes in Pure and Applied Mathematics, 65 Marcel Dekker, Inc., New York, 1981.
- I. J. Maddox, Elements of Functional Analysis, Cambridge Univ. Press, 1970.
- I. J. Maddox, Sequence spaces de_ned by a modulus, Math. Proc., Cambridge Philos. Soc. 100 (1986), 161-166.
- H. Nakano, \Concave modulars", Journal of the Mathematical Society of Japan, 5(1) (1953), 29-49.
- W. H. Ruckle, FK spaces in which the sequence of coordinate vectors is bounded, Canad. J. Math., 25 (1973), 973-978.
- S. M. Sirajudeen, Matrix Transformation of Co(P), l∞(P), lP and l into χ, Indian J. Pure Appl. Math., 12(9), (1981), 1106-1113.
- B. C. Tripathy, S. Mahanta and M. Et, On a class of generalized difference sequence space de_ned by modulus function, Hakkaido Math. Jour., XXXIV (3) (2005), 667{677.
- A. Wilansky, Functional Analysis, Blaisdell Publishing Company, New York, 1964.
- A. Wilansky, Summability through Functional Analysis, North Holland Mathematics Studies, North-Holland Publishing, Amsterdam, Vol. 85 (1984).
Toplam 13 adet kaynakça vardır.
Ayrıntılar
| Yazarlar | |
|---|---|
| Yayımlanma Tarihi | 1 Ağustos 2014 |
| IZ | https://izlik.org/JA86GK29XK |
| Yayımlandığı Sayı | Yıl 2014 Cilt: 2 Sayı: 2 |