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

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    An inclusion theorem for double Cesaro matrices over the space of absolutely k-convergent double series
    (Pergamon-Elsevier Science LTD, 2009) Savaş, Ekrem; Rhoades, B. E.
    In this work it is shown that if C(alpha, beta) and C(gamma, delta) are double Cesaro, matrices with alpha >= gamma > -1, beta >= delta > -1, then any double series that is vertical bar C(gamma, delta) vertical bar(k)-summable is also vertical bar C(alpha, beta) vertical bar(k)-summable, k >= 1. (c) 2009 Published by Elsevier Ltd
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    NECESSARY CONDITIONS FOR ABSOLUTE DOUBLE MATRIX SUMMABILITY FACTORS
    (Akademiai Kiado Rt, 2011) Savas, Ekrem; Rhoades, B. E.
    We obtain necessary conditions for a doubly triangular matrix A to have the property that a double series Sigma Sigma lambda(mn)b(mn) mnbmn is summable vertical bar A vertical bar(k) whenever the series Sigma Sigma b(mn) is bounded vertical bar A vertical bar(k).
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    Necessary conditions for inclusion relations for double absolute summability
    (Estonian Academy Publishers, 2011) Savaş, Ekrem; Rhoades, B. E.
    We establish necessary conditions for a general inclusion theorem involving a pair of doubly triangular matrices. As corollaries we obtain inclusion results for some special classes of doubly triangular matrices.
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    On the cesaro summability of double series
    (Springer International Publishing AG, 2008) Savaş, Ekrem; Şevli, Hamdullah; Rhoades, B. E.
    In a recent paper by Savas, and Sevli (2007), it was shown that each Cesaro matrix of order alpha, for alpha > -1, is absolutely kth power conservative for k >= 1. In this paper we extend this result to double Cesaro matrices. Copyright (C) 2008.
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    Size of convergence domains for generalized hausdorff prime matrices
    (Springer International Publishing AG, 2011) Selmanoğulları, Tuğçen; Savaş, Ekrem; Rhoades, B. E.
    We show that there exit E-J generalized Hausdorff matrices and unbounded sequences x such that each matrix has convergence domain c circle plus x.
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    Some e-j generalized hausdorff matrices not of type m
    (Hindawi Publishing Corporation, 2011) Selmanoğulları, Tuğçen; Savaş, Ekrem; Rhoades, B. E.
    We show that there exists a regular E-J generalized Hausdorff matrix which has no zero elements on the main diagonal and which is not of type M and establish several other related theorems.
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    Triangles Which are Bounded Operators on A(k)
    (Malaysian Mathematical Sciences Soc, 2009) Savaş, Ekrem; Şevli, Hamdullah; Rhoades, B. E.
    A lower triangular infinite matrix is called a triangle if there are no zeros on the principal diagonal. The main result of this paper gives a minimal set of sufficient conditions for a triangle T : A(k) -> A(k) for the sequence space A(k) defined as follows: A(k) := {{s(n)} : (n=1)Sigma(infinity)n(k-1)vertical bar a(n)vertical bar(k) < infinity, a(n) = s(n) - s(n-1)}.