THE SEMI ORLICZ SPACE OF Λ 2 Nagarajan Subramanian and
نویسنده
چکیده
Let χ denote the space of all double gai sequences. Let Λ denote the space of all double analytic sequences. This paper is to introduce a new class of sequence spaces namely the semi difference Orlicz space of Λ. It is shown that the intersection of all semi difference Orlicz space of Λ is I ⊂ η and Λ ⊂ I.
منابع مشابه
Nagarajan Subramanian and Umakanta Misra THE NÖRLUND ORLICZ SPACE OF DOUBLE GAI SEQUENCES
Let χ denotes the space of all double gai sequences. Let Λ denotes the space of all double analytic sequences. This paper is devoted to a study of the general properties of Nörlund double Orlicz space of gai sequence space η ( χM ) and χM . and Nörlund double Orlicz space of analytic sequence space η ( ΛM ) and ΛM .
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In this paper, we introduce two general double sequence spaces χM (p) and Λ 2 M (p) using Orlicz functions. We establish some inclusion relations, topological results and we characterize the duals of these double sequence spaces. Mathematics Subject Classification (2010): 40A05, 40C05, 40D05.
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تاریخ انتشار 2011