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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2010.1
- 수록면
- 59 - 69 (11page)
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The main aim of this article is to introduce a new class of sequence spaces using the concept of n-norm and to investigate these spaces for some linear topological structures as well as examine these spaces with respect to derived (n-1)-norm. We use an Orlicz function, a bounded sequence of positive real numbers and some di erence operators to construct these spaces so that they become more generalized and some other spaces can be derived under special cases. These investigations will enhance the acceptability of the notion of n-norm by giving a way to construct di erent sequence spaces with elements in n-normed spaces.
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참고문헌 (15)
참고문헌 신청
A. Misiak / 1989 / n-inner product spaces / Math. Nachr. 140 : 299 ~ 319
B .C. Tripathy, A. Esi / 2005 / On a new type of generalized di erence Ces aro Sequence spaces / Soochow J. Math. 31 (3) : 333 ~ 340
B. C. Tripathy / 2006 / A new type of di erence sequence spaces / International Journal of Sci. and Tech. 1 (1) : 11 ~ 14
H. Gunawan / 2001 / On n- normed spaces / Int. J. Math. Math. Sci. 27 (10) : 631 ~ 639
H. Gunawan / 2001 / On n-Inner Product, n-Norms, and The Cauchy-Schwarz Inequality / Scientiae Mathematicae Japonicae 5 : 47 ~ 54
B .C. Tripathy, A. Esi / 2005 / On a new type of generalized di erence Ces aro Sequence spaces / Soochow J. Math. 31 (3) : 333 ~ 340
B. C. Tripathy / 2006 / A new type of di erence sequence spaces / International Journal of Sci. and Tech. 1 (1) : 11 ~ 14
H. Gunawan / 2001 / On n- normed spaces / Int. J. Math. Math. Sci. 27 (10) : 631 ~ 639
H. Gunawan / 2001 / On n-Inner Product, n-Norms, and The Cauchy-Schwarz Inequality / Scientiae Mathematicae Japonicae 5 : 47 ~ 54
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