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Sunil K. Sharma - One of the best experts on this subject based on the ideXlab platform.
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new Difference Sequence spaces defined by musielak orlicz function
Abstract and Applied Analysis, 2014Co-Authors: M Mursaleen, Sunil K. Sharma, S A Mohiuddine, Adem KilicmanAbstract:We introduce new Sequence spaces by using Musielak-Orlicz function and a generalized -Difference operator on -normed space. Some topological properties and inclusion relations are also examined.
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New Classes of Generalized Seminormed Difference Sequence Spaces
Abstract and Applied Analysis, 2014Co-Authors: Mohammad Mursaleen, Abdullah Alotaibi, Sunil K. SharmaAbstract:The purpose of this paper is to introduce new classes of generalized seminormed Difference Sequence spaces defined by a Musielak-Orlicz function. We also study some topological properties and prove some inclusion relations between resulting Sequence spaces.
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Difference Sequence spaces in n normed spaces defined by musielak orlicz function
2011Co-Authors: Kuldip Raj, Sunil K. Sharma, Ajay K SharmaAbstract:In the present paper we introduced generalized Difference Sequence spaces combining lacunary Sequences and Musielak-Orlicz function $\mathcal{M} = (M_k) $ over n-normed spaces and examine some properties of the resulting Sequence spaces.
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SOME Difference Sequence SPACES DEFINED BY A Sequence OF MODULUS FUNCTIONS
International Journal of Mathematical Archive, 2011Co-Authors: Kuldip Raj, Sunil K. SharmaAbstract:ABSTRACT In the present paper we study Difference Sequence spaces defined by a Sequence of modulus functions and examine some topological properties of these spaces. A M S: 40A05, 40C05, 46A45. Keywords: Paranorm space, Difference Sequence space, Modulus function.
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Difference Sequence SPACES DEFINED BY A Sequence OF MODULUS FUNCTIONS
Proyecciones (Antofagasta), 2011Co-Authors: Kuldip Raj, Sunil K. SharmaAbstract:In the present paper we study Difference Sequence spaces defined by a Sequence of modulus functions and examine some topological properties of these spaces.
Kuldip Raj - One of the best experts on this subject based on the ideXlab platform.
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Difference Sequence spaces based on Lucas band matrix and modulus function
São Paulo Journal of Mathematical Sciences, 2021Co-Authors: S A Mohiuddine, Kuldip Raj, Anu ChoudharyAbstract:In this work, we define some Difference Sequence spaces based upon Lucas band matrix and associated with the idea of Sequence of modulus functions and then establish that aforementioned spaces are BK-spaces of non absolute type.We further investigate that our spaces are linearly isomorphic to the space l ( p ), where $$l(p)=\{x=(x_{k}) \in w:\sum _{k}|x_{k}|^{p_{k}}
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matrix transformations of norlund orlicz Difference Sequence spaces of nonabsolute type and their toeplitz duals
Advances in Difference Equations, 2020Co-Authors: Adem Kilicman, Kuldip RajAbstract:In this paper, the Norlund–Orlicz Difference Sequence space $\mathcal{N}^{t}(\mathcal{F},\Delta^{m}_{n},u,q)$ of nonabsolute type is introduced as a domain of Norlund means which is isomorphic to the space $\ell(p)$ and the basis of the space is constructed. Additionally, the α−, β−, and γ-duals of the spaces are computed and their matrix transformations are given. Finally, the properties like rotundity, modularity of the newly formed spaces are established.
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Fibonacci Difference Sequence spaces for modulus functions
Le Matematiche, 2015Co-Authors: Kuldip Raj, Suruchi Pandoh, Seema JamwalAbstract:In the present paper we introduce Fibonacci Difference Sequence spaces l(F, Ƒ, p, u) and l_∞(F, Ƒ, p, u) by using a Sequence of modulus functions and a new band matrix F. We also make an effort to study some inclusion relations, topological and geometric properties of these spaces. Furthermore, the alpha, beta, gamma duals and matrix transformation of the space l(F, Ƒ, p, u) are determined.
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Some Paranormed Double Difference Sequence Spaces for Orlicz Functions and Bounded-Regular Matrices
Abstract and Applied Analysis, 2014Co-Authors: Syed Abdul Mohiuddine, Kuldip Raj, Abdullah AlotaibiAbstract:The aim of this paper is to introduce some new double Difference Sequence spaces with the help of the Musielak-Orlicz function and four-dimensional bounded-regular (shortly, RH-regular) matrices . We also make an effort to study some topological properties and inclusion relations between these double Difference Sequence spaces.
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Some New Difference Sequence Spaces Defined by A Sequence of Modulus Functions
International Journal of Algebra and Statistics, 2013Co-Authors: Kuldip Raj, Seema JamwalAbstract:In this paper, we have constructed some new Difference Sequence spaces defined by a Sequence of modulus functions and study some topological and algebraic properties of these spaces.
Adem Kilicman - One of the best experts on this subject based on the ideXlab platform.
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matrix transformations of norlund orlicz Difference Sequence spaces of nonabsolute type and their toeplitz duals
Advances in Difference Equations, 2020Co-Authors: Adem Kilicman, Kuldip RajAbstract:In this paper, the Norlund–Orlicz Difference Sequence space $\mathcal{N}^{t}(\mathcal{F},\Delta^{m}_{n},u,q)$ of nonabsolute type is introduced as a domain of Norlund means which is isomorphic to the space $\ell(p)$ and the basis of the space is constructed. Additionally, the α−, β−, and γ-duals of the spaces are computed and their matrix transformations are given. Finally, the properties like rotundity, modularity of the newly formed spaces are established.
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new Difference Sequence spaces defined by musielak orlicz function
Abstract and Applied Analysis, 2014Co-Authors: M Mursaleen, Sunil K. Sharma, S A Mohiuddine, Adem KilicmanAbstract:We introduce new Sequence spaces by using Musielak-Orlicz function and a generalized -Difference operator on -normed space. Some topological properties and inclusion relations are also examined.
Binod Chandra Tripathy - One of the best experts on this subject based on the ideXlab platform.
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on generalized Difference Sequence spaces of fuzzy numbers
Acta Scientiarum-technology, 2013Co-Authors: Binod Chandra Tripathy, Shyamal DebnathAbstract: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 c F (f,Λ,Δm,p), F c 0 (f,Λ,Δm,p) and F ∞ (f,Λ,Δm,p) of fuzzy numbers associated with the multiplier Sequence Λ= (λk) defined by a modulus function f. We study some of their properties like solidity, symmetricity, completeness etc. and prove some inclusion results.
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On fuzzy I-convergent Difference Sequence spaces
Journal of Intelligent & Fuzzy Systems, 2013Co-Authors: Binod Chandra Tripathy, Mausumi SenAbstract:In this article we introduce the notions of I-convergent and I-bounded Difference Sequences of fuzzy real numbers. We study different properties of I-convergent, I-null and I-bounded Difference Sequence spaces of fuzzy real numbers like completeness, solidness, monotone, symmetricity, Sequence algebra, convergence free, nowhere denseness. We prove some inclusion results also.
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on some lacunary Difference Sequence spaces defined by a Sequence of orlicz functions and q lacunary δnm statistical convergence
Analele Universitatii "Ovidius" Constanta - Seria Matematica, 2012Co-Authors: Binod Chandra Tripathy, Hemen DuttaAbstract:In this article, we introduce the lacunary Difference Sequence spaces w0(M,�,� n,p,q), w1(M,�,� n,p,q) and w1(M,�,� n,p,q) using a Sequence M = (Mk) of Orlicz functions and investigate some relevant properties of these spaces. Then, we define and study the notion of q
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new type of Difference Sequence spaces of fuzzy real numbers
Mathematical Modelling and Analysis, 2009Co-Authors: Binod Chandra Tripathy, Achyutanada BaruahAbstract:Abstract In this paper we introduce the natation Difference operator Δrn(m ≥ 0, an integer) for studying properties of some Sequence spaces. We define the Sequence spaces l ∞ F (Δm), cF(Δm), cF o(Δm) and investigate their properties like solid‐ness, convergence free, symmetricity, completeness.
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Difference Sequence space m m o amn p f of fuzzy real numbers
Mathematical Modelling and Analysis, 2008Co-Authors: Binod Chandra Tripathy, Stuti BorgohainAbstract:Abstract The Difference Sequence space m(M, o, Am n,p) F of fuzzy real numbers for both 1 ≤ p < 8 and 0 < p < 1, is introduced. Some properties of this Sequence space like solidness, symmetricity, convergence‐free are studied. Some inclusion relations involving this Sequence space are obtained.
Metin Başarır - One of the best experts on this subject based on the ideXlab platform.
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on compact operators on the riesz bm Difference Sequence space
Iranian Journal of Science and Technology (Sciences), 2011Co-Authors: Metin Başarır, Emrah Evren KaraAbstract:The compact operators on the Riesz Sequence space ݎ ሺܤ ሻ ሺ1 ൏ ∞ሻ have been studied by Basarir and Kara, "IJST (2011) A4, 279-285". In the present paper, we will characterize some classes of compact operators on the normed Riesz Sequence spaces ݎ ሺܤ ሻ and ݎ ஶ ሺܤ ሻ by using the Hausdorff measure of noncompactness.
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On compact operators and some Euler B(m)-Difference Sequence spaces
Journal of Mathematical Analysis and Applications, 2011Co-Authors: Emrah Evren Kara, Metin BaşarırAbstract:Abstract Altay and Basar (2005) [1] and Altay, Basar and Mursaleen (2006) [2] introduced the Euler Sequence spaces e 0 t , e c t and e ∞ t . Basarir and Kayikci (2009) [3] defined the B ( m ) -Difference matrix and studied some topological and geometric properties of some generalized Riesz B ( m ) -Difference Sequence space. In this paper, we introduce the Euler B ( m ) -Difference Sequence spaces e 0 t ( B ( m ) ) , e c t ( B ( m ) ) and e ∞ t ( B ( m ) ) consisting of all Sequences whose B ( m ) -transforms are in the Euler spaces e 0 t , e c t and e ∞ t , respectively. Moreover, we determine the α-, β- and γ-duals of these spaces and construct the Schauder basis of the spaces e 0 t ( B ( m ) ) and e c t ( B ( m ) ) . Finally, we characterize some matrix classes concerning the spaces e 0 t ( B ( m ) ) and e c t ( B ( m ) ) and give the characterization of some classes of compact operators on the Sequence spaces e 0 t ( B ( m ) ) and e ∞ t ( B ( m ) ) .
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on some Difference Sequence spaces of weighted means and compact operators
Annals of Functional Analysis, 2011Co-Authors: Metin Başarır, Emrah Evren KaraAbstract:In the peresent paper, by using generalized weighted mean and dierence matrix of order m, we introduce the Sequence spaces X(u,v, (m) ), where X is one of the spaces '1, c or c0. Also, we determine the -, - and -duals of those spaces and construct their Schauder bases for X 2 {c,c0}. Morever, we give the characterization of the matrix mappings on the spaces X(u,v, m ) for X 2 {'1,c,c0}. Finally, we characterize some classes of compact operators on the spaces '1(u,v, m ) and c0(u,v, m ) by using the Hausdor measure of noncompactness.
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on the generalized riesz b Difference Sequence spaces
Filomat, 2010Co-Authors: Metin BaşarırAbstract:In this paper, we define the new generalized Riesz B-Difference Sequence spaces r q (p, B ) , r q (p, B ) , r q (p, B ) and r q (p, B ) which consist of the Sequences whose R q B-transforms are in the linear spaces l1 (p) , c (p) , c0 (p) and l (p) , respectively, introduced by I.J.Maddox[8],[9]. We give some topological properties and compute the ®i, ¯ i and °iduals of these spaces. Also we determine the neccesary and sufficient conditions on the matrix transformations from these spaces into l1 and c.
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on the generalized riesz Difference Sequence space and property
Journal of Inequalities and Applications, 2009Co-Authors: Metin Başarır, Mustafa KayikçiAbstract:We introduce the generalized Riesz Difference Sequence space Open image in new window which is defined by Open image in new window where Open image in new window is the Riesz Sequence space defined by Altay and Basar. We give some topological properties, compute the Open image in new window duals, and determine the Schauder basis of this space. Finally; we study the characterization of some matrix mappings on this Sequence space. At the end of the paper, we investigate some geometric properties of Open image in new window and we have proved that this Sequence space has property Open image in new window for Open image in new window .