Yazar "Hazarika, Bipan" seçeneğine göre listele

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  • Küçük Resim Yok
    Öğe
    ON SOME NEW SEQUENCE SPACES DEFINED BY q-PASCAL MATRIX
    (Ivane Javakhishvili Tbilisi State Univ, 2022) Yaying, Taja; Hazarika, Bipan; Basar, Feyzi
    In this study, we construct the q-analog P(q) of Pascal matrix and study the sequence spaces c(P(q)) and c(0)(P(q)) defined as the domain of q-Pascal matrix P(q) in the spaces c and c(0), respectively. We investigate certain topological properties, determine Schauder bases and compute Kothe duals of the spaces c(0)(P(q)) and c(P(q)). We state and prove the theorems characterizing the classes of matrix mappings from the space c(P(q)) to the spaces l(infinity) of bounded sequences and f of almost convergent sequences. Additionally, we also derive the characterizations of some classes of infinite matrices as a direct consequence of the results about the classes (c(P (q)), l(infinity)) and (c(P(q)), f)). Finally, we obtain the necessary and sufficient conditions for a matrix operator to be compact from the space c(0)(P (q)) to anyone of the spaces l(infinity), c, c(0), l(1), cs(0), cs, bs.
  • Küçük Resim Yok
    Öğe
    Slowly oscillating sequences in locally normal Riesz spaces
    (Inst Advanced Science Extension, 2017) Hazarika, Bipan; Ozdemir, M. Kemal; Esi, Ayhan
    In the present paper, we are going to introduce and at the same time investigate the notion of slowly oscillating sequences, study on slowly oscillating compactness and slowly oscillating continuous functions in locally normal Riesz space. For this purpose, first of all, we are going to try to put forward some fundamental theorems about oscillating continuity, slowly oscillating compactness, sequential continuity and uniform continuity. Secondly, the newly obtained results in this paper can also be obtained with the definition of quasi-slowly oscillating and.-quasi-slowly oscillating sequences in terms of fuzzy points. Finally, most of the related theorems and lemmas are presented clearly. (C) 2017 The Authors. Published by IASE. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).