On A New Sequence Space Related To Lp

Cigdem A. BEKTAS*, Suzan ZEREN**
*-** Department of Mathematics, Firat University, Turkey.
Periodicity:January - March'2013
DOI : https://doi.org/10.26634/jmat.2.1.2162

Abstract

In this study, we define the new sequence spacel_p^λ (u), whereλ=(λ_k )_(k=0)^∞ is a strictly increasing sequence of positive reals tending to∞,u=(u_n ) is a sequence of positive real numbers andl_p^λ (u)

Keywords

Sequence space, BK- space, Schauder basis, Matrix mapping.

How to Cite this Article?

Bektas, C.A., and Zeren, S. (2013). On A New Sequence Space Related To lp. i-manager’s Journal on Mathematics, 2(1), 35-42. https://doi.org/10.26634/jmat.2.1.2162

References

[1]. Altay, B., & Basar, F. (2003). On the space of sequences of p- bounded variation and related matrix mappings. Ukrainian Math. J., 55(1), 136-147.
[2]. Altay, B.,& Basar, F. (2005). Some Euler sequence spaces of non- absolute type. Ukrainian Math. J., 57(1), 1-17.
[3]. Altay, B., Basar, F., & Mursaleen, M. (2006). On the Euler sequence spaces which include the spaces l and l I. Inform. Sci,176(10), 1450-1462.
[4]. Aydin, C., & Basar, F. (2004). On the new sequence spaces which include the spaces c and c. Hokkaido Math. J., 33(2), 0 383-398.
[5]. Aydin, C., & Basar, F. (2004). Some new difference sequence spaces. Appl. Math. Comput., 157(3), 677-693.
[6]. Aydin, C., & Basar, F. (2004). Some new paranormed sequence spaces. Inform. Sci.,160(1-4), 27-40.
[7]. Aydin, C., & Basar, F. (2005). Some new sequence spaces which include the spaces l and l . Demonstratio Math., 38(3), 641-656.
[8]. Basarir, M. (1995). On some new sequence spaces and related matrix transformations. Indian J. Pure Appl. Math., 26(10), 1003-1010.
[9]. Choudhary, B.,& Nanda, S. (1989). Functional Analysis with Applications. John Wiley & Sons Inc., New Delhi.
[10]. Hardy, G. H., Littlewood, J. E., & Polya, G. (1952). Inequalities. Cambridge University Press.
[11]. Maddox, I. J. (1988). Elements of Functional Analysis (2nd ed). Cambridge University Press.
[12]. Malkowsky, E. (1997). Recent results in the theory of matrix transformations in sequence spaces. Mat. Vesnik, 49, 187- 196.
[13]. Malkowsky, E.,& Savas, E. (2004). Matrix transformations between sequence spaces of generalized weighted means. Appl. Math. Comput., 147(2), 333-345.
[14]. Mursaleen, M., Basar F., & Altay, B. (2006). On the Euler sequence spaces which include the spaces l and l II. Nonlinear Analysis: TMA, 65(3), 707-717.
[15]. Mursaleen, M., & Noman, A. K. (2010). On the spaces of - convergent and bounded sequences. Thai J. Math. 8(2), 311-329.
[16]. Mursaleen, M.,& Noman, A. K. (2010). On some new difference sequence spaces of non-absolute type. Math. Comp. Mod., 52(3-4), 603-617.
[17]. Mursaleen, M.,& Noman, A. K. (2011). On some new sequence spaces of non-absolute type related to the spaces l and l I. Filomat, 25(2), 33-51.
[18]. Ng, P.- N. (1978). On modular space of a nonabsolute type. Nanta Math. 2, 84-93.
[19]. Ng, P.- N., & Lee, P.-Y. (1978). Cesàro sequence spaces of non- absolute type, Comment. Math. Prace Mat., 20(2), 429- 433.
[20]. Wilansky, A. (1984). Summability through Functional Analysis. North- Holland Mathematics Studies, 85.
[21]. Wang, C. - S. (1978). On Nörlund sequence spaces. Tamkang J. Math., 9, 269-274.
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