Yazar "Mursaleen, Mohammad" seçeneğine göre listele

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    Banach-saks type and gurarii modulus of convexity of some banach sequence spaces
    (Hindawi Publishing Corporation, 2014) Hudzik, Henryk; Karakaya, Vatan; Mursaleen, Mohammad; Şimşek, Necip
    Banach-Saks type is calculated for two types of Banach sequence spaces and Gurarii modulus of convexity is estimated from above for the spaces of one type among them.
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    Generalized statistical convergence and statistical core of double sequences
    (Springer Heidelberg, 2010) Mursaleen, Mohammad; Cakan, Celal; Mohiuddine, Syed Abdul; Savas, Ekrem
    In this paper we extend the notion of lambda-statistical convergence to the (lambda, A mu)statistical convergence for double sequences x = (x (jk) ). We also determine some matrix transformations and establish some core theorems related to our new space of double sequences S (lambda,A mu).
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    Measure of noncompactness of matrix operators on some difference sequence spaces of weighted means
    (2011) Mursaleen, Mohammad; Karakaya, Vatan; Polat, Harun; Şimşek, Necip
    For a sequence x=(xk), we denote the difference sequence by ?x=(xk-xk-1). Let u=(uk)k=0? and v=(vk)k=0? be the sequences of real numbers such that uk?0, vk?0 for all k?N. The difference sequence spaces of weighted means ?(u,v,?) are defined as ?(u,v,?)=x=(xk):W(x)??, where ?= c,c0 and ?? and the matrix W=(wnk) is defined by wnk=un(vk-vk+1);(k<n) ,unvn;(k=n),0;(k>n). In this paper, we establish some identities or estimates for the operator norms and the Hausdorff measures of noncompactness of certain matrix operators on ?(u,v,?). Further, we characterize some classes of compact operators on these spaces by using the Hausdorff measure of noncompactness. © 2011 Elsevier Ltd. All rights reserved.