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On generalized difference sequence spaces of fuzzy numbers - doi: 10.4025/actascitechnol.v35i1.15566
Acta Scientiarum: Technology, 2013 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
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Some Generalized Difference Sequence Spaces Defined by a Sequence of Moduli in n‐Normed Spaces
Journal of Function Spaces, Volume 2015, Issue 1, 2015., 2015 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
SOME NEW PARANORMED DIFFERENCE SEQUENCE SPACES DERIVED BY FIBONACCI NUMBERS [PDF]
, 2015 Kara, Emrah Evren/0000-0002-6398-4065WOS: 000371145000023In this study, we define new paranormed sequence spaces derived by the sequences of Fibonacci numbers. Furthermore, we compute the alpha-, beta- and gamma- duals and obtain bases for these sequence
Demiriz, Serkan, Kara, Emrah Evren
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On some new paranormed sequence spaces defined by the matrix D (r, 0, 0, s)
, 2021 In this paper, we introduce some new paranormed sequence spaces and study some topological properties. Further, we determine α, β and γ-duals of the new sequence spaces and finally, we establish the necessary and sufficient conditions for ...
Paul, Avinoy, Dr.Avinoy Paul
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Some Topological and Geometric Properties of Some New Spaces of λ‐Convergent and Bounded Series
Journal of Function Spaces, Volume 2015, Issue 1, 2015., 2015 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
Generalized vector-valued paranormed sequence spaces defined by a sequence of Orlicz functions
Ukrains’kyi Matematychnyi Zhurnal, 2022 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.
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On Some Properties Paranormed Sequence Spaces Generated by Generalized Sequence Means and Core Theorems [PDF]
, 2017 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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Double Sequence Spaces by Means of Orlicz Functions
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 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
On Some Geometric Properties of a New Paranormed Sequence Space
Journal of Function Spaces, 2014 We introduce a new sequence space which is defined by the operatorW=(wnk)on the sequence spaceℓ(p). We define a modular functional on this space and investigate structure of this space equipped with Luxemburg norm. Also we study some geometric properties which are called Kadec-Klee, k-NUC, and uniform Opial properties and prove that this new space ...
Karakaya, Vatan, Altun, Fatma
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Mathematical Modelling and Analysis, 2006 In this paper we introduce the concept of strongly λ(p) convergence of fuzzy numbers with respect to an Orlicz function and examine some properties of the resulting sequence spaces and λ(p) – statistical convergence.
A. Esi
doaj +1 more source