Yazar "Rhoades, B.E." seçeneğine göre listele

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    Double absolute summability factor theorems and applications
    (2008) Savaş, Ekrem; Rhoades, B.E.
    In an earlier paper the first author [Ekrem Savas, Factors for | A |k summability of infinite series, Comput. Math. Appl. 53 (7) (2007) 1045-1049. [3]] obtained a summability factor theorem for absolute summability of the order k ? 1. In this paper we extend that result to doubly infinite matrices. © 2007 Elsevier Ltd. All rights reserved.
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    Every conservative double Hausdorff matrix is a kth absolutely summable operator
    (Kluwer Academic Publishers, 2009) Savaş, Ekrem; Rhoades, B.E.
    Let A denote the set of kth absolutely summable double series. In this paper it is shown that every double conservative Hausdorff matrix is a bounded operator on A. © 2009 Akadémiai Kiadó, Budapest.
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    On q-hausdorff matrices
    (2011) Selmanoğulları, Tuğçen; Savaş, Ekrem; Rhoades, B.E.
    The q-Hausdorff matrices are defined in terms of symbols from q-mathematics. The matrices become ordinary Hausdorrf matrices as q ? 1. In this paper, we consider the q-analogues of the Cesáro matrix of order one, both for 0 < q < 1 and q > 1, and obtain the lower bounds for these matrices for any 1 < p < ?.
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    On |A|k summability factors of infinite series
    (2010) Rhoades, B.E.; Savaş, Ekrem
    In an earlier paper (Rhoades. B. E. and Savaş, E. Some necessary conditions for absolute matrix summability factors. Indian J. Pure Appl. Math., 2002. 33(7), 1003-1009) the authors obtained necessary conditions for the series ?an to be absolutely summable of order k by a triangular matrix. In this paper we present sufficient conditions for absolute matrix summability factors. As a corollary we obtain a result of N. Singh (On |N?,pn| summability factors of infinite series. Indian J. Math., 1968, 10, 19-24).
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    Sufficient conditions for factorable matrices to be bounded operators on a k
    (2009) Savaş, Ekrem; Şevli, Hamdullah; Rhoades, B.E.
    A factorable matrix A is a lower triangular matrix with entries a nk = a nb k. The sequence space A k is defined in (2). In this paper we determine sufficient conditions for a nonnegative factorable matrix A to be a bounded operator on A k, i.e., A ? B(A k)- As corollaries we obtain sufficient conditions for the discrete Cesáro, terraced, and p-Cesáro matrices defined by Rhaly, to be in B(A k) Copyright © 2009 Rocky Mountain Mathematics Consortium.
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    Type M for E-J generalized quasi-Hausdorff matrices
    (2011) Selmanoğulları, Tuğçen; Savaş, Ekrem; Rhoades, B.E.
    In this paper, we determine sufficient condition for the transpose of an EJ generalized Hausdorff matrix to be of type M. © 2010 Elsevier Ltd. All rights reserved.