Results 31 to 40 of about 121,863 (139)
p-Best Approximation on Probabilistic Normed Spaces
American Journal of Applied Sciences, 2009 We studied the best approximation between two sets in probabilistic normed spaces. We defined the best approximation on these spaces and generalized some definitions such as set of best approximation, p-proximinal set and p-approximately compact relative to any set and proved some theorems about them.
S.M. Vaezpour, M. Shams, R. Saadati
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Statistical Convergence of Double Sequences on Probabilistic Normed Spaces [PDF]
International Journal of Mathematics and Mathematical Sciences, 2007 The concept of statistical convergence was presented by Steinhaus in 1951. This concept was extended to the double sequences by Mursaleen and Edely in 2003. Karakus has recently introduced the concept of statistical convergence of ordinary (single) sequence on probabilistic normed spaces.
Karakuş, Sevda, Demirci, Kamil
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Generalized ideal convergence in probabilistic normed spaces [PDF]
Journal of Classical Analysis, 2013 Summary: The aim of this paper is to introduce and study the notion of \(I_\lambda\)-convergence in probabilistic normed space as a variant of the notion of ideal convergence. Also, \(I_\lambda\)-limit point and \(I_\lambda\)-cluster point hase been defined and the relation between them have been established.
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On triple difference sequences of real numbers in probabilistic normed spaces
, 2014 In this paper we define concept of triple Δ-statistical convergent sequences in probabilistic normed space and give some results. Also we introduce the notions of Δ-statistical limit point and Δ-statistical cluster point and investigate their different ...
B. Tripathy, Rupanjali Goswami
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Some classes of probabilistic normed spaces
Rendiconti di Matematica e delle Sue Applicazioni, 1997 We begin the study of probabilistic normed spaces (briefly PN spaces ) by giving several examples; (a)we present a detailed study of alpha-simple spaces, (b) construct a PN spaceon the vector space of (equivalence classes) of random variables and (c) show that its probabilistic norm alone generates the normes of all L^p and Orlicz spaces.
B. LAFUERZA GUILLEN +2 more
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On ideal convergence in probabilistic normed spaces
Mathematica Slovaca, 2011 Abstract An interesting generalization of statistical convergence is I-convergence which was introduced by P.Kostyrko et al [KOSTYRKO,P.—ŠALÁT,T.—WILCZYŃSKI,W.: I-Convergence, Real Anal. Exchange 26 (2000–2001), 669–686]. In this paper, we define and study the concept of I-convergence, I*-convergence, I-limit points and I-cluster points ...
Mursaleen, M., Mohiuddine, S. A.
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$I^K_ν$-Convergence of functions in probabilistic normed spaces
, 2023 In this paper we study $I^K$-convergence of functions with respect to probabilistic norm $ν$ which is a generalization of $I^*_ν$-convergence in probabilistic norm spaces. We also study on $I^K$-Cauchy functions and $I^K$-limit points with respect to probabilistic norm $ν$ in the same space.
Banerjee, Amar Kumar, Paul, Mahendranath
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Generalized Statistical Convergence in Probabilistic Normed Spaces [PDF]
The Open Mathematics Journal, 2008 In this paper we define the concepts of λ-statistical convergence and λ-statistically Cauchy in probabilistic normed space and prove some interesting results. Furthermore, we display an example such that our method of convergence is stronger than the usual convergence in probabilistic normed spaces.
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$\bar \lambda $-statistically convergent double sequences in probabilistic normed spaces
Mathematica Slovaca, 2011 Abstract The purpose of this paper is to introduce and study the concepts of double $\bar \lambda $-statistically convergent and double $\bar \lambda $-statistically Cauchy sequences in probabilistic normed space.
Savaş, Ekrem, Mohiuddine, S.A.
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Total boundedness in probabilistic normed spaces
, 2012 In this paper, we study total boundedness in probabilistic normed space and we give criterion for total boundedness and D-boundedness in these spaces. Also we show that in general a totally bounded set is not D-bounded.
Lafuerza Guillén, Bernardo +2 more
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