On the Paranormed Nörlund Sequence Space of Nonabsolute Type
نویسندگان
چکیده
منابع مشابه
On Some Properties of New Paranormed Sequence Space of Nonabsolute Type
and Applied Analysis 3 2. The Sequence Space λ, p In this section, we define the sequence space λ, p and prove that this sequence space according to its paranorm is complete paranormed linear space. In 1 , Mursaleen and Noman defined the matrix Λ λnk ∞ n,k 0 by λnk ⎧ ⎨ ⎩ λk − λk−1 λn 0 ≤ k ≤ n 0 k > n , 2.1 where λ λk ∞ k 0 is a strictly increasing sequence of positive reals tending to ∞, that ...
متن کاملOn paranormed λ-sequence spaces of non-absolute type
In this work, we introduce some new generalized sequence spaces related to the spaces l∞(p), c(p) and c0(p). Furthermore, we investigate some topological properties such as the completeness and the isomorphism, and we also give some inclusion relations among these sequence spaces. In addition, we compute the α-, βand γ -duals of these spaces, and characterize certain matrix transformations on t...
متن کاملOn Some New Paranormed Sequence Spaces
Abstract The sequence spaces c0 , c and `∞ have been recently introduced and studied by Mursaleen and Noman [On the spaces of λ− convergent and bounded sequences, Thai J. Math. 8(2)(2010),311-329]. The main purpose of the present paper is to extend the results of Mursaleen and Noman to the paranormed case and is to work the spaces c0(u, p), c(u, p) and `∞(u, p). Let μ denote any of the spaces c...
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چکیده ندارد.
On some properties of new paranormed sequence space defined by λ-convergent sequences
*Correspondence: [email protected] Department of Mathematics and Computer Sciences, University of Prishtina, Avenue ‘Mother Teresa’ 5, Prishtinë, 10000, Kosovo Department of Computer Sciences and Applied Mathematics, College Vizioni per Arsim, Ferizaj, 70000, Kosovo Abstract In this paper, we introduce the new sequence space l(λ2,p) and we will show some topological properties like completeness,...
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ژورنال
عنوان ژورنال: Abstract and Applied Analysis
سال: 2014
ISSN: 1085-3375,1687-0409
DOI: 10.1155/2014/858704