Yazar "Roopaei, Hadi" seçeneğine göre listele

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    The Cesaro-Gamma operator and its associated sequence space
    (Springer Basel Ag, 2021) Kara, Merve Ilkhan; Roopaei, Hadi
    In this paper, we introduce Cesaro-Gamma matrix that exhibits the structure of both the Cesaro and Gamma matrices. We study the domain of this new matrix in the space l(p) (1 <= p <= infinity). By this new matrix, we obtain a factorization for the infinite Hilbert matrix, based on the Cesaro matrix of order lambda, of the form H = (BC lambda)-C-lambda. As a second application of this operator, we obtain a factorization for the Cesaro matrix of order lambda of the form C lambda+(lambda) over tilde = (R lambda,(lambda) over tilde +1C(lambda) over tilde), which results in a factorization for the Cesaro matrices of the form C-lambda = (SC(lambda) over tilde)-C-lambda,(lambda) over tilde.
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    Compact Operators on Cesàro sequence spaces and norms of Cesàro operators
    (University of Nis, 2023) Kara, Merve İlkhan; Roopaei, Hadi
    This paper deals with the characterization of compact operators on Cesàro sequence spaces as an application of Hausdorff measure of noncompactness. Further, the norms of Cesàro operators on certain spaces are investigated. © 2023, University of Nis. All rights reserved.
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    Negative Difference Operator and Its Associated Sequence Space
    (Taylor & Francis Inc, 2021) Roopaei, Hadi; Kara, Merve Ilkhan
    Let Delta(-n) be the backward difference operator of order -n. In this paper, we study some properties of the matrix domain associated with this operator and after computing alpha-, beta-, gamma-duals, we characterize some matrix classes on this space. Moreover, we investigate the problem of finding the norm of well-known operators such as Cesaro and Hilbert from l(p)(Delta(-n)) into l(p).
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    A weighted mean Hausdorff type operator and its summability matrix domain
    (Springer, 2022) Kara, Merve İlkhan; Roopaei, Hadi
    In this research, we firstly introduce a criterion for factorizing an operator based on the gamma operator, and as a result we present two factorizations for the Cesaro and Hilbert operators. As another point of view, we study some properties of the matrix domain associated with the gamma matrix of order n and compute the duals of this space. Moreover, we compute the norm of well-known operators into, from, and on the gamma sequence space.