On generalized difference sequence spaces of fuzzy numbers - doi: 10.4025/actascitechnol.v35i1.15566
The idea of difference sequence space was introduced by Kizmaz (1981) and this concept was generalized by Tripathy and Esi (2006). In this article we introduced the paranormed sequence spaces cF(f,Λ,Δm,p), (f,Λ,Δm,p) and (f,Λ,Δm,p) of fuzzy numbers ...
Binod Chandra Tripathy, Shyamal Debnath
doaj +1 more source
We first define the notion of lacunary statistical convergence of order (α, β), and taking this notion into consideration, we introduce some seminormed difference sequence spaces over n‐normed spaces with the help of Musielak‐Orlicz function M=(Mk) of order (α, β).
S. A. Mohiuddine +3 more
wiley +1 more source
Some Generalized Difference Sequence Spaces Defined by a Sequence of Moduli in n‐Normed Spaces
We introduce some new generalized difference sequence spaces by means of ideal convergence, infinite matrix, and a sequence of modulus functions over n‐normed spaces. We also make an effort to study several properties relevant to topological, algebraic, and inclusion relations between these spaces.
Abdullah Alotaibi +3 more
wiley +1 more source
A New Paranormed Series Space and Matrix Transformations
The series space |C-1|p has been studied for 1 p ∞ by Hazar and Sarigöl in [9]. The main purpose of this work is to define a new paranormed space |C-1| (p), where p = (pk) is a bounded sequence of positive real numbers, which generalizes the results of
G. Canan HAZAR GÜLEÇ +1 more
core +1 more source
On Some Properties Paranormed Sequence Spaces Generated by Generalized Sequence Means and Core Theorems [PDF]
Recently, Mursaleen and Noman constructed new sequence spaces by using a matrix domain over a normed space [On generalized means and some related sequence spaces, Comput. Math. Appl. 61 (2011) 988-999].
Karabiyik, Umit, Karaisa, Ali
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Some Topological and Geometric Properties of Some New Spaces of λ‐Convergent and Bounded Series
The main purpose of this study is to introduce the spaces csλ, cs0λ, and bsλ which are BK‐spaces of nonabsolute type. We prove that these spaces are linearly isomorphic to the spaces cs, cs0, and bs, respectively, and derive some inclusion relations.
Meltem Kaya +2 more
wiley +1 more source
On paranormed sequence space arising from Riesz Euler Totient matrix [PDF]
In this paper, we introduce a novel paranormed sequence space l(R Phi, p) constructed through the application of the Riesz Euler Totient matrix. We demonstrate that the spaces l(R Phi, p) and l(p) are linearly isomorphic.
Alp, Pinar Zengin
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Some new paranormed sequence spaces derived by q-second difference matrix [PDF]
The goal of this research is to construct the extended versions of the original Maddox's paranormed sequence spaces, denoted by the notation l(del(2)(q), p) and l(infinity)(del(2)(q), p).
Ellidokuzoğlu, Hacer Bilgin +1 more
core +1 more source
Generalized vector-valued paranormed sequence spaces defined by a sequence of Orlicz functions
UDC 517.9 In this paper, we introduced a class of generalized vector-valued paranormed sequence space X [ E , A
Verma, A. K., Kumar, S.
openaire +1 more source
Double Sequence Spaces by Means of Orlicz Functions
We define some classes of double entire and analytic sequences by means of Orlicz functions. We study some relevant algebraic and topological properties. Further some inclusion relations among the classes are also examined.
Abdullah Alotaibi +3 more
wiley +1 more source

