Yazar "Altay, B" seçeneğine göre listele

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    On the Euler sequence spaces which include the spaces lp and l?I
    (Elsevier Science Inc, 2006) Altay, B; Basar, F; Mursaleen, M
    In the present paper, we introduce the Euler sequence space e(p)(r) consisting of all sequences whose Euler transforms of order r are in the space e,, of non-absolute type which is the BK-space including the space l(p) and prove that the spaces e(p)(r) and l(p) are linearly isomorphic for 1 <= p <= infinity. Furthermore, we give some inclusion relations concerning the space e(p)(r). Finally, we determine the alpha-, beta- and gamma-duals of the space e(p)(r) for 1 <= p <= infinity and construct the basis for the space e(p)(r), where 1 <= P <= infinity. (c) 2005 Elsevier Inc. All rights reserved.
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    On the fine spectrum of the difference operator ? on c0 and c
    (Elsevier Science Inc, 2004) Altay, B; Basar, F
    In the present paper, the fine spectrum of the difference operator on the sequence spaces c(0) and c have been examined and a Mercerian theorem has also been given. (C) 2004 Elsevier Inc. All rights reserved.
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    Some new spaces of double sequences
    (Academic Press Inc Elsevier Science, 2005) Altay, B; Basar, F
    In this study, we define the double sequence spaces BS, BS(t), CSp, CSbp, CSr and BV, and also examine some properties of those sequence spaces. Furthermore, we show that these sequence spaces are complete paranormed or normed spaces under some certain conditions. We determine the a-duals of the spaces BS, BV, CSbp and the alpha-duals of the spaces CSbp, and CSr of double series. Finally, we give the conditions which characterize the class of four-dimensional matrix mappings defined on the spaces CSbp, CSr and CSp of double series. (c) 2004 Elsevier Inc. All rights reserved.
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    Statistically boundedness and statistical core of double sequences
    (Academic Press Inc Elsevier Science, 2006) Çakan, C; Altay, B
    The concept of statistical convergence was presented by Steinhaus in 1951. This concept was extended to the double sequences by Mursaleen and Edely in 2003. Throughout this paper we will present multidimensional analogues of the results presented by Fridy and Orhan in 1997. To achieve this goal multidimensional analogues of the definition for bounded statistically sequences, statistical inferior and statistical superior will be presented. In addition to these results we will investigate statistical core for double sequences and study an inequality related to the statistical and P-cores of bounded double sequences. (C) 2005 Elsevier Inc. All rights reserved.