The continuity of superposition operators on some sequence spaces defined by moduli

Enno Kolk; Annemai Raidjõe

Displaying similar documents to “The continuity of superposition operators on some sequence spaces defined by moduli”

Statistical cluster points of sequences in finite dimensional spaces

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

Czechoslovak Mathematical Journal

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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...

Some mean convergence and complete convergence theorems for sequences of $m$ -linearly negative quadrant dependent random variables

Yongfeng Wu, Andrew Rosalsky, Andrei Volodin (2013)

Applications of Mathematics

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The structure of linearly negative quadrant dependent random variables is extended by introducing the structure of $m$ -linearly negative quadrant dependent random variables ( $m = 1, 2, \dots$ ). For a sequence of $m$ -linearly negative quadrant dependent random variables ${X_{n}, n \geq 1}$ and $1 < p < 2$ (resp. $1 \leq p < 2$ ), conditions are provided under which $n^{- 1 / p} \sum_{k = 1}^{n} (X_{k} - E X_{k}) \to 0$ in $L^{1}$ (resp. in $L^{p}$ ). Moreover, for $1 \leq p < 2$ , conditions are provided under which $n^{- 1 / p} \sum_{k = 1}^{n} (X_{k} - E X_{k})$ converges completely to $0$ . The current work extends some results of Pyke and Root (1968) and it extends and...

Garding's inequality for elliptic differential operator with infinite number of variables.

Zabel, Ahmed, Alghamdi, Maryam (2011)

International Journal of Mathematics and Mathematical Sciences

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On the $β$ -dual of vector-valued sequence spaces of Maddox.

Suantai, Suthep, Sanhan, Winate (2002)

International Journal of Mathematics and Mathematical Sciences

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On matrix transformations concerning the Nakano vector-valued sequence space.

Suantai, Suthep (2001)

International Journal of Mathematics and Mathematical Sciences

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Inclusion theorems for some sets of sequences defined by $ϕ$ -functions

Enno Kolk, Annemai Mölder (2004)

Mathematica Slovaca

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Super-relaxed $(η)$ -proximal point algorithms, relaxed $(η)$ -proximal point algorithms, linear convergence analysis, and nonlinear variational inclusions.

Agarwal, Ravi P., Verma, Ram U. (2009)

Fixed Point Theory and Applications [electronic only]

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Displaying similar documents to “The continuity of superposition operators on some sequence spaces defined by moduli”

Statistical cluster points of sequences in finite dimensional spaces

Some mean convergence and complete convergence theorems for sequences of m -linearly negative quadrant dependent random variables

Garding's inequality for elliptic differential operator with infinite number of variables.

On the β -dual of vector-valued sequence spaces of Maddox.

On matrix transformations concerning the Nakano vector-valued sequence space.

Inclusion theorems for some sets of sequences defined by ϕ -functions

Super-relaxed ( η ) -proximal point algorithms, relaxed ( η ) -proximal point algorithms, linear convergence analysis, and nonlinear variational inclusions.

Some mean convergence and complete convergence theorems for sequences of $m$ -linearly negative quadrant dependent random variables

On the $β$ -dual of vector-valued sequence spaces of Maddox.

Inclusion theorems for some sets of sequences defined by $ϕ$ -functions

Super-relaxed $(η)$ -proximal point algorithms, relaxed $(η)$ -proximal point algorithms, linear convergence analysis, and nonlinear variational inclusions.