Yazar "Demiriz, Serkan" seçeneğine göre listele

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    Almost convergence and Euler totient matrix
    (Springer Basel Ag, 2020) Demiriz, Serkan; Ilkhan, Merve; Kara, Emrah Evren
    This paper is devoted to study the almost convergent sequence space c(F) derived by the Euler totient matrix. It is proved that the space c(F) and the space of all almost convergent sequences are linearly isomorphic. Further, the ss-dual of the space c(F) is determined and Euler totient core of a complex-valued sequence has been defined. Finally, inclusion theorems related to this new type of core are obtained.
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    Multiplication operators on Cesàro second order function spaces
    (Birkhauser Verlag AG, 2019) İlkhan, Merve; Demiriz, Serkan; Kara, Emrah Evren
    In this article, we investigate bounded, invertible and compact multiplication operators on the second order Cesàro function spaces. © 2019, Springer Nature Switzerland AG.
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    Multiplication Operators on Second Order Cesaro-Orlicz Sequence Spaces
    (Murat TOSUN, 2021) Demiriz, Serkan; Kara, Emrah
    The main purpose of this paper is to characterize the compact, invertible, Fredholm and closed range multiplication operators on second Ces\`{a}ro-Orlicz sequence spaces.
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    A New Paranormed Sequence Space Defined by Euler Totient Matrix
    (2019) İlkhan, Merve; Demiriz, Serkan; Kara, Emrah Evren
    In the present paper, by using the regular matrix given by Euler Totient function, we give a new paranormed sequence space ,(?,p) and prove that the spaces ,(?,p) and ,(p) are linearly isomorphic. Also, we compute ?-,?-,?-duals and the Schauder basis of this space.
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    On Compact Operators on Some Sequence Spaces Related to Matrix B(r,s,t)
    (Chiang Mai Univ, Fac Science, 2016) Demiriz, Serkan; Kara, Emrah Evren
    In the present paper, we establish some identities or estimates for the operator norms and the Hausdorff measures of noncompactness of certain matrix operators on the spaces c(0)(B), l(infinity) (B) and l(p)(B) which have recently been introduced in [Some new sequence spaces derived by the domain of the triple band matrix, Comput. Math. Appl. 62 (2011) 641-650]. Further, by using the Hausdorff measure of noncompactness, we characterize some classes of compact operators on these spaces.
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    On the Fibonacci Almost Convergent Sequence Space and Fibonacci Core
    (Kyungpook Natl Univ, Dept Mathematics, 2015) Demiriz, Serkan; Kara, Emrah Evren; Başarır, Metin
    In the present paper, by using the Fibonacci difference matrix, we introduce the almost convergent sequence space (c) over cap (f). Also, we show that the spaces (c) over cap (f) and c are linearly isomorphic. Further, we determine the beta-dual of the space (c) over cap (f) and characterize some matrix classses on this space. Finally, Fibonacci core of a complex-valued sequence has been introduced, and we prove some inclusion theorems related to this new type of core.
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    SOME NEW PARANORMED DIFFERENCE SEQUENCE SPACES DERIVED BY FIBONACCI NUMBERS
    (Univ Miskolc Inst Math, 2015) Kara, Emrah Evren; Demiriz, Serkan
    In this study, we define new paranormed sequence spaces derived by the sequences of Fibonacci numbers. Furthermore, we compute the alpha-, beta- and gamma- duals and obtain bases for these sequence spaces. Besides this, we characterize the matrix transformations from the new paranormed sequence spaces to the Maddox's spaces c(0)(q), c(q), l(q) and l(infinity)(q).