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Some statistically convergent difference sequence spaces defined over real 2-normed linear spaces.

Dutta, Hemen (2010)

APPS. Applied Sciences

Sommation de certains développements

Désiré André (1871)

Nouvelles annales de mathématiques : journal des candidats aux écoles polytechnique et normale

Spherical summation : a problem of E.M. Stein

Antonio Cordoba, B. Lopez-Melero (1981)

Annales de l'institut Fourier

Writing $(T_{R}^{λ} f) \hat{} (ξ) = (1 - | ξ |^{2} / R^{2})_{+}^{λ} \hat{f} (ξ)$ . E. Stein conjectured $∥ {(\sum_{j} | T_{R_{j}}^{λ} f_{i} |^{2})}^{1 / 2} ∥_{p} \leq C ∥ {(\sum_{j} | f_{j} |^{2})}^{1 / 2} ∥_{p}$ for $λ > 0$ , $\frac{4}{3} \leq p \leq 4$ and $C = C_{λ, p}$ . We prove this conjecture. We prove also $f (x) = {lim}_{j \to \infty} T_{2^{j}}^{λ} f (x)$ a.e. We only assume $\frac{4}{3 + 2 λ} < p < \frac{4}{1 - 2 λ}$ .

Stacked exponents.

J.J. Andrews, R.C. Lacher (1977)

Aequationes mathematicae

Stacked exponents. (Short Communication).

J.J. Andrews, R.C. Lacher (1977)

Aequationes mathematicae

Stanovení součtů jistých nekonečných řad

Eduard Weyr (1892)

Časopis pro pěstování mathematiky a fysiky

Statistical cluster points of sequences in finite dimensional spaces

Serpil Pehlivan, A. Güncan, M. A. Mamedov (2004)

Czechoslovak Mathematical Journal

In this paper we study the set of statistical cluster points of sequences in $m$ -dimensional spaces. We show that some properties of the set of statistical cluster points of the real number sequences remain in force for the sequences in $m$ -dimensional spaces too. We also define a notion of $Γ$ -statistical convergence. A sequence $x$ is $Γ$ -statistically convergent to a set $C$ if $C$ is a minimal closed set such that for every $ϵ > 0$ the set ${k ρ (C, x_{k}) \geq ϵ}$ has density zero. It is shown that every statistically bounded sequence...

Statistical convergence of a sequence of random variables and limit theorems

Sanjoy Ghosal (2013)

Applications of Mathematics

In this paper the ideas of three types of statistical convergence of a sequence of random variables, namely, statistical convergence in probability, statistical convergence in mean of order $r$ and statistical convergence in distribution are introduced and the interrelation among them is investigated. Also their certain basic properties are studied.

Statistical convergence of double sequences on probabilistic normed spaces.

Karakus, S., Demırcı, K. (2007)

International Journal of Mathematics and Mathematical Sciences

Statistical convergence of infinite series

M. Dindoš, Tibor Šalát, Vladimír Toma (2003)

Czechoslovak Mathematical Journal

In this paper we use the notion of statistical convergence of infinite series naturally introduced as the statistical convergence of the sequence of the partial sums of the series. We will discuss some questions related to the convergence of subseries of a given series.

Statistical convergence of sequences of functions with values in semi-uniform spaces

Dimitrios N. Georgiou, Athanasios C. Megaritis, Selma Özçağ (2018)

Commentationes Mathematicae Universitatis Carolinae

We study several kinds of statistical convergence of sequences of functions with values in semi-uniform spaces. Particularly, we generalize to statistical convergence the classical results of C. Arzelà, Dini and P.S. Alexandroff, as well as their statistical versions studied in [Caserta A., Di Maio G., Kočinac L.D.R., {Statistical convergence in function spaces},. Abstr. Appl. Anal. 2011, Art. ID 420419, 11 pp.] and [Caserta A., Kočinac L.D.R., {On statistical exhaustiveness}, Appl. Math. Lett....

Statistical convergence of sequences of fuzzy numbers

Fatih Nuray, Ekrem Savaş (1995)

Mathematica Slovaca

Statistical convergence of subsequences of a given sequence.

Mačaj, M., Šalát, T. (2001)

Mathematica Bohemica

Statistical convergence of subsequences of a given sequence

Martin Máčaj, Tibor Šalát (2001)

Mathematica Bohemica

This paper is closely related to the paper of Harry I. Miller: Measure theoretical subsequence characterization of statistical convergence, Trans. Amer. Math. Soc. 347 (1995), 1811–1819 and contains a general investigation of statistical convergence of subsequences of an arbitrary sequence from the point of view of Lebesgue measure, Hausdorff dimensions and Baire’s categories.

Currently displaying 21 – 40 of 74