Yazar "Altay B." seçeneğine göre listele

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    Domain of generalized difference matrix B(r,s) on some Maddox's spaces
    (2013) Aydin C.; Altay B.
    In the present paper, the sequence spaces ???(p), ?0(p) and ?(p) of non-absolute type have been introduced and proved that the spaces ???(p), ?0(p) and ?(p) are linearly isomorphic to the spaces l?(p), c0(p) and c(p), respectively. The ?- and ?-duals of the spaces ???(p), ?0(p) and ? (p) have been computed and their basis have been constructed. Finally, some matrix mappings from ???(p), ?0(p) and ?(p) to the some sequence spaces of Maddox have been characterized and relationship between the modular ?p and the Luxemburg norm on the sequence space ???(p) has been discussed. © 2013 by the Mathematical Association of Thailand.
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    On some Euler sequence spaces of nonabsolute type
    (2005) Altay B.; Basar F.
    In the present paper, we introduce Euler sequence spaces e 0 r and e c r of nonabsolute type that are BK-spaces including the spaces c 0 and c and prove that the spaces e 0 r and e c r are linearly isomorphic to the spaces c 0 and c, respectively. Furthermore, some inclusion theorems are presented. Moreover, the ?-, ?-, ?- and continuous duals of the spaces e 0 r and e c r are computed and their bases are constructed. Finally, necessary and sufficient conditions on an infinite matrix belonging to the classes (e cr : ?p) and (ecr : C) are established, and characterizations of some other classes of infinite matrices are also derived by means of a given basic lemma, where 1 ? p ? ?. © 2005 Springer Science+Business Media, Inc.
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    ?-regular matrices and a ?-core theorem for double sequences
    (Hacettepe University, 2009) Çakan C.; Altay B.; Coskun H.
    The famous Knopp Core of a single sequence was extended to the P-core of a double sequence by R.F. Patterson. Recently, the MR-core and ?-core of real bounded double sequences have been introduced and some inequalities analogues to those for Knoop's Core Theorem have been studied. The aim of this paper is to characterize a class of four-dimensional matrices, and so to obtain necessary and sufficient conditions for a new inequality related to the P- and ?-cores.