Yazar "Basar, F." seçeneğine göre listele

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    THE GENERALISED DOUBLE HAHN SEQUENCE SPACE H?d
    (Comenius Univ, Sch Medicine, 2024) Savasci, M. Yesilkayagil; Basar, F.
    Suppose that theta is an element of {bp, r}. In this study, we introduce the generalised double Hahn sequence space H-theta(d) as an extension of generalised Hahn sequence space hd defined by Goes [J. Math. Anal. Appl. 39 (1972), 477-494]. We give some topological properties of this space. Then, we characterize the classes (H-theta(d) : W) of four dimensional infinite matrices, where W is an element of {C-theta, M-u, L-u, H-theta(d). Finally, we determine the alpha-dual of the space H-theta(d) and beta(bp)- and gamma-duals of the space H-r(d).
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    Some generalizations of the sequence space apr
    (Springer International Publishing Ag, 2006) Aydin, C.; Basar, F.
    In the present paper, the sequence space a(r)(u, p) of a non-absolute type is introduced and it is proved that the space a(r)(u, p) is linearly isomorphic to the Maddox's space (p). Besides this, the basis is constructed and the alpha-, beta- and gamma-duals are computed for the space d(u, p). Furthermore, some matrix mappings from d(u, p) to some sequence spaces are characterized. The final section of the paper is devoted to some consequences related to the rotundity of the space d(u, p).