The Nörlund Orlicz Space of Double Entire Rate Sequences
نویسندگان
چکیده
Let Γ 2 π denote the space of all double entire rate sequences. Let Λ 2 π denote the space of all double analytic rate sequences. This paper is devoted to a study of the general properties of Nörlund double Orlicz space η Γ 2 f π of entire rate sequences and Nörlund double Orlicz space η Λ 2 f π of analytic rate sequences.
منابع مشابه
On difference sequence spaces defined by Orlicz functions without convexity
In this paper, we first define spaces of single difference sequences defined by a sequence of Orlicz functions without convexity and investigate their properties. Then we extend this idea to spaces of double sequences and present a new matrix theoretic approach construction of such double sequence spaces.
متن کاملNörlund Space of Double Entire Sequences
Let Γ2 denote the spaces of all double entire sequences. Let Λ2 denote the spaces of all double analytic sequences. This paper is devoted to a study of the general properties of Nörlund space of double entire sequences η ( Γπ ) , Γ2 and also study some of the properties of η ( Γπ ) and η ( Λπ )
متن کاملStrongly almost ideal convergent sequences in a locally convex space defined by Musielak-Orlicz function
In this article, we introduce a new class of ideal convergent sequence spaces using an infinite matrix, Musielak-Orlicz function and a new generalized difference matrix in locally convex spaces. We investigate some linear topological structures and algebraic properties of these spaces. We also give some relations related to these sequence spaces.
متن کاملNagarajan 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 .
متن کاملTHE SEMI ORLICZ SPACE OF Λ 2 Nagarajan Subramanian and
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.
متن کامل