Yazar "Polat, Harun" seçeneğine göre listele

Listeleniyor 1 - 3 / 3
  • Küçük Resim
    Öğe
    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.
  • Küçük Resim Yok
    Öğe
    Operators ideals of generalized modular spaces of ceáro type defined by weighted means
    (Eudoxus Press, LLC, 2015) Şimşek, Necip; Karakaya, Vatan; Polat, Harun
    In this work, we investigate the ideal of all bounded linear operators between any arbitrary Banach spaces whose sequence of approximation numbers belong to the generalized modular spaces of Cesáro type defined by weighted means. Also, we show that the completeness of obtained operator ideals. © 2015, Eudoxus Press, LLC. All rights reserved.
  • Küçük Resim Yok
    Öğe
    Operators ideals of generalized modular spaces of Cesaro type defined by weighted means
    (Eudoxus Press, Llc, 2015) Şimşek, Necip; Karakaya, Vatan; Polat, Harun
    In this work, we investigate the ideal of all bounded linear operators between any arbitrary Banach spaces whose sequence of approximation numbers belong to the generalized modular spaces of Cesaro type defined by weighted means. Also, we show that the completeness of obtained operator ideals.