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62
LÉVY GROUP AND DENSITY MEASURES
"... Abstract. We will deal with finitely additive measures on integers extending the asymptotic density. We will study their relation to the Lévy group G of permutations of N. Using a new characterization of the Lévy group G we will prove that a finitely additive measure extends density if and only if ..."
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Abstract. We will deal with finitely additive measures on integers extending the asymptotic density. We will study their relation to the Lévy group G of permutations of N. Using a new characterization of the Lévy group G we will prove that a finitely additive measure extends density if and only if it is Ginvariant.
Probabilistic norms and statistical convergence of random variables
 Surveys Math. Appl
"... Abstract. The paper extends certain stochastic convergence of sequences of Rkvalued random variables (namely, the convergence in probability, in Lp and almost surely) to the context of Evalued random variables. 1 ..."
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Abstract. The paper extends certain stochastic convergence of sequences of Rkvalued random variables (namely, the convergence in probability, in Lp and almost surely) to the context of Evalued random variables. 1
STATISTICALLY CONVERGENT DIFFERENCE SEQUENCE SPACES OF FUZZY REAL NUMBERS
"... Abstract. In this article we introduce the notion of statistical convergence difference sequences of fuzzy real numbers, ¯c F (∆). We study some properties of the statistically convergent and statistically null difference sequence spaces of fuzzy real numbers, like completeness, solidness, sequence ..."
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Abstract. In this article we introduce the notion of statistical convergence difference sequences of fuzzy real numbers, ¯c F (∆). We study some properties of the statistically convergent and statistically null difference sequence spaces of fuzzy real numbers, like completeness, solidness, sequence algebra, symmetricity, convergence free, nowhere denseness and some inclusion results. Key words: fuzzy real number, statistical convergence, difference sequence, solid space, symmetric space, sequence algebra, convergence free. AMS Mathematics Subject Classification: 40A05, 40D25. 1.
SOME REMARKS ON STRONG CONVERGENCE IN MODULAR SPACES OF SEQUENCES
"... Abstract: In this paper we study some connections between strong (A, ϕ)summability of sequences and lacunary statistical convergence or lacunary strong convergence with respect to a modulus functions. Key words: sequence spaces, modular spaces. ..."
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Abstract: In this paper we study some connections between strong (A, ϕ)summability of sequences and lacunary statistical convergence or lacunary strong convergence with respect to a modulus functions. Key words: sequence spaces, modular spaces.
Lacunary strong Aconvergence with respect to a sequence modulus functions
, 2001
"... Abstract. The definition of lacunary strong convergence with respect to a modulus is extended to a definition of lacunary strong Aconvergence with respect to a modulus when A = (aik) is an infinite matrix of complex numbers. We study some connections between lacunary strong Aconvergence with resp ..."
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Abstract. The definition of lacunary strong convergence with respect to a modulus is extended to a definition of lacunary strong Aconvergence with respect to a modulus when A = (aik) is an infinite matrix of complex numbers. We study some connections between lacunary strong Aconvergence with respect to a modulus and lacunary Astatistical convergence. 1.
LACUNARY STRONGLY ALMOST SUMMABLE SEQUENCES
"... Abstract. The purpose of this paper is to introduce the concepts of q − lacunary strongly almost convergence with respect to a modulus function and q−lacunary almost statistical convergence. We establish some connections between q − lacunary strongly almost convergence and q − lacunary almost stati ..."
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Abstract. The purpose of this paper is to introduce the concepts of q − lacunary strongly almost convergence with respect to a modulus function and q−lacunary almost statistical convergence. We establish some connections between q − lacunary strongly almost convergence and q − lacunary almost statistical convergence. It is also shown that if a sequence is q−lacunary strongly almost convergent with respect to a modulus function then it is q−lacunary almost statistically convergent. 1.
ON SOME STRONG ZWEIER CONVERGENT SEQUENCE SPACES
"... Abstract. In this paper we define three classes of new sequence spaces. We give some relations related to these sequence spaces. We also introduce the concept of Sλ Z−statistically convergence and obtain some inclusion relations related to these new sequence spaces. 2000 Mathematics Subject Classifi ..."
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Abstract. In this paper we define three classes of new sequence spaces. We give some relations related to these sequence spaces. We also introduce the concept of Sλ Z−statistically convergence and obtain some inclusion relations related to these new sequence spaces. 2000 Mathematics Subject Classification: 40C05, 40J05, 40A45. 1.
On Asymptotically Double Lacunary Statistical Equivalent Sequences in Probabilistic Normed Space
"... In this paper we study the concept of asymptotically double lacunary statistical convergent sequences in probabilistic normed spaces and prove some basic properties. 1 ..."
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In this paper we study the concept of asymptotically double lacunary statistical convergent sequences in probabilistic normed spaces and prove some basic properties. 1
ON (λ, µ)STATISTICAL CONVERGENCE OF DOUBLE SEQUENCES ON INTUITIONISTIC FUZZY NORMED SPACES
"... In this paper, we define (λ, µ) statistical convergence and (λ, µ)statistical Cauchy double sequences on intuitionistic fuzzy normed spaces (IFNS in short), where λ = (λn) and µ = (µm) be two nondecreasing sequences of positive real numbers such that each tending to ∞ and λn+1 ≤ λn+1, λ1 = 1; µm+ ..."
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In this paper, we define (λ, µ) statistical convergence and (λ, µ)statistical Cauchy double sequences on intuitionistic fuzzy normed spaces (IFNS in short), where λ = (λn) and µ = (µm) be two nondecreasing sequences of positive real numbers such that each tending to ∞ and λn+1 ≤ λn+1, λ1 = 1; µm+1 ≤ µm + 1, µ1 = 1. We display example that shows our method of convergence is more general for double sequences in intuitionistic fuzzy normed spaces. 1
unknown title
"... The classes of strongly (A, p)summable sequences of fuzzy numbers ..."
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