The Experts below are selected from a list of 12957 Experts worldwide ranked by ideXlab platform
Binod Chandra Tripathy - One of the best experts on this subject based on the ideXlab platform.
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Best approximation in quotient probabilistic Normed Space
Journal of Applied Analysis, 2017Co-Authors: Mausumi Sen, Soumitra Nath, Binod Chandra TripathyAbstract:AbstractIn this article, we study the best approximation in quotient probabilistic Normed Space. We define the notion of quotient Space of a probabilistic Normed Space, then prove some theorems of approximation in quotient Space are extended to quotient probabilistic Normed Space.
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I -convergence in probabilistic n -Normed Space
Soft Computing, 2012Co-Authors: Binod Chandra Tripathy, Soumitra NathAbstract:In this article we introduce the notion of I-Cauchy sequence and I-convergent sequence in probabilistic n-Normed Space. The concept of I*-Cauchy sequence and I*-convergence in probabilistic n-Normed Space are also introduced and some of their properties related to these notions have been established.
Ekrem Savas - One of the best experts on this subject based on the ideXlab platform.
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statistical convergence of triple sequences on probabilistic Normed Space
Annals of the University of Craiova - Mathematics and Computer Science Series, 2012Co-Authors: Ekrem Savas, Ayhan EsiAbstract:The concept of statistical convergence was presented by Fast [18]. This concept was extended to the double sequences by Mursaleen and Edely 23 . In this paper, we define statistical analogues of convergence and Cauchy for triple sequences on probabilistic Normed Space.
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on generalized statistical convergence in random 2 Normed Space
Iranian Journal of Science and Technology (Sciences), 2012Co-Authors: Ekrem SavasAbstract:In this paper, we shall define and study the concept of -statistical convergence and -statistical Cauchy in random 2-Normed Space. We also introduce the concept of -statistical completeness which would provide a more general frame work to study the completeness in random 2-Normed Space. Furthermore, we also prove some new results.
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sequence Spaces in 2 Normed Space defined by ideal convergence and an orlicz function
Abstract and Applied Analysis, 2011Co-Authors: Ekrem SavasAbstract:We study some new
Metin Basarir - One of the best experts on this subject based on the ideXlab platform.
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on some Spaces of almost lacunary convergent sequences derived by riesz mean and weighted almost lacunary statistical convergence in a real n Normed Space
Journal of Inequalities and Applications, 2014Co-Authors: şukran Konca, Metin BasarirAbstract:In this paper, we introduce some new Spaces of almost convergent sequences derived by Riesz mean and the lacunary sequence in a real n-Normed Space. By combining the definitions of lacunary sequence and Riesz mean, we obtain a new concept of statistical convergence which will be called weighted almost lacunary statistical convergence in a real n-Normed Space. We examine some connections between this notion with the concept of almost lacunary statistical convergence and weighted almost statistical convergence, where the base Space is a real n-Normed Space.
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generalized difference sequence Spaces associated with a multiplier sequence on a real n Normed Space
Journal of Inequalities and Applications, 2013Co-Authors: şukran Konca, Metin BasarirAbstract:The purpose of this paper is to introduce new sequence Spaces associated with a multiplier sequence by using an infinite matrix, an Orlicz function and a generalized B-difference operator on a real n-Normed Space. Some topological properties of these Spaces are examined. We also define a new concept, which will be called -statistical A-convergence, and establish some inclusion connections between the sequence Space and the set of all -statistically A-convergent sequences. MSC:40A05, 40B50, 46A19, 46A45.
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some generalized difference statistically convergent sequence Spaces in 2 Normed Space
Journal of Inequalities and Applications, 2013Co-Authors: Metin Basarir, şukran Konca, Emrah Evren KaraAbstract:In this paper, we define a new generalized difference matrix B nm) and introduce some B nm) -difference statistically convergent sequence Spaces in a real linear 2-Normed Space. We also investigate some topological properties of these Spaces. MSC: Primary 40A05; secondary 46A45; 46E30
Yasunari Shidama - One of the best experts on this subject based on the ideXlab platform.
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topological properties of real Normed Space
Formalized Mathematics, 2014Co-Authors: Kazuhisa Nakasho, Yuichi Futa, Yasunari ShidamaAbstract:Summary. In this article, we formalize topological properties of real Normed Spaces. In the first part, open and closed, density, separability and sequence and its convergence are discussed. Then we argue properties of real Normed subSpace. Then we discuss linear functions between real Normed speces. Several kinds of subSpaces induced by linear functions such as kernel, image and inverse image are considered here. The fact that Lipschitz continuity operators preserve convergence of sequences is also refered here. Then we argue the condition when real Normed subSpaces become Banach’s Spaces. We also formalize quotient vector Space. In the last session, we argue the properties of the closure of real Normed Space. These formalizations are based on [19](p.3-41), [2] and [34](p.3-67). MSC: 46B20 46A19 03B35
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riemann integral of functions from r into real Normed Space
Formalized Mathematics, 2011Co-Authors: Keiichi Miyajima, Takahiro Kato, Yasunari ShidamaAbstract:Let X be a real Normed Space, let A be a closed-interval subset of R, let f be a function from A into the carrier of X, and let D be a Division of A. A finite sequence of elements of X is said to be a middle volume of f and D if it satisfies the conditions (Def. 1). (Def. 1)(i) len it = lenD, and (ii) for every natural number i such that i ∈ domD there exists a point c of X such that c ∈ rng(f divset(D, i)) and it(i) = vol(divset(D, i)) · c.
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baire s category theorem and some Spaces generated from real Normed Space 1
Formalized Mathematics, 2006Co-Authors: Noboru Endou, Yasunari Shidama, Katsumasa OkamuraAbstract:Summary. As application of complete metric Space, we proved a Baire’s category theorem. Then we defined some Spaces generated from real Normed Space and discussed each of them. In the second section, we showed the equivalence of convergence and the continuity of a function. In other sections, we showed some topological properties of two Spaces, which are topological Space and linear topological Space generated from real Normed Space.
Soumitra Nath - One of the best experts on this subject based on the ideXlab platform.
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Best approximation in quotient probabilistic Normed Space
Journal of Applied Analysis, 2017Co-Authors: Mausumi Sen, Soumitra Nath, Binod Chandra TripathyAbstract:AbstractIn this article, we study the best approximation in quotient probabilistic Normed Space. We define the notion of quotient Space of a probabilistic Normed Space, then prove some theorems of approximation in quotient Space are extended to quotient probabilistic Normed Space.
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I -convergence in probabilistic n -Normed Space
Soft Computing, 2012Co-Authors: Binod Chandra Tripathy, Soumitra NathAbstract:In this article we introduce the notion of I-Cauchy sequence and I-convergent sequence in probabilistic n-Normed Space. The concept of I*-Cauchy sequence and I*-convergence in probabilistic n-Normed Space are also introduced and some of their properties related to these notions have been established.
