On the non-commutative neutrix product $\ln x_+\circ x_+^{-s}$

Brian Fisher; Adem Kiliçman; Blagovest Damyanov; J. C. Ault

Displaying similar documents to “On the non-commutative neutrix product $ln x_{+} \circ x_{+}^{- s}$ ”

On approximation of functions by certain operators preserving $x^{2}$

Lucyna Rempulska, Karolina Tomczak (2008)

Commentationes Mathematicae Universitatis Carolinae

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In this paper we extend the Duman-King idea of approximation of functions by positive linear operators preserving $e_{k} (x) = x^{k}$ , $k = 0, 2$ . Using a modification of certain operators $L_{n}$ preserving $e_{0}$ and $e_{1}$ , we introduce operators $L_{n}^{*}$ which preserve $e_{0}$ and $e_{2}$ and next we define operators $L_{n; r}^{*}$ for $r$ -times differentiable functions. We show that $L_{n}^{*}$ and $L_{n; r}^{*}$ have better approximation properties than $L_{n}$ and $L_{n; r}$ .

A note on the strong maximal operator on ℝⁿ

Jiecheng Chen, Xiangrong Zhu (2004)

Studia Mathematica

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We prove that for f ∈ L ln⁺L(ℝⁿ) with compact support, there is a g ∈ L ln⁺L(ℝⁿ) such that (a) g and f are equidistributed, (b) $M_{S} (g) \in L ¹ (E)$ for any measurable set E of finite measure.

Moments of the product $F$ distribution.

Nadarajah, Saralees, Kotz, Samuel (2006)

Applied Mathematics E-Notes [electronic only]

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Neutrices and the product of distributions

B. Fisher (1976)

Studia Mathematica

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Maximal distributional chaos of weighted shift operators on Köthe sequence spaces

Xinxing Wu (2014)

Czechoslovak Mathematical Journal

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During the last ten some years, many research works were devoted to the chaotic behavior of the weighted shift operator on the Köthe sequence space. In this note, a sufficient condition ensuring that the weighted shift operator $B_{w}^{n} : λ_{p} (A) \to λ_{p} (A)$ defined on the Köthe sequence space $λ_{p} (A)$ exhibits distributional $ϵ$ -chaos for any $0 < ϵ < diam λ_{p} (A)$ and any $n \in ℕ$ is obtained. Under this assumption, the principal measure of $B_{w}^{n}$ is equal to 1. In particular, every Devaney chaotic shift operator exhibits distributional $ϵ$ -chaos for any...

Displaying similar documents to “On the non-commutative neutrix product ln x + ∘ x + - s ”

On approximation of functions by certain operators preserving x 2

A note on the strong maximal operator on ℝⁿ

Moments of the product F distribution.

Neutrices and the product of distributions

Maximal distributional chaos of weighted shift operators on Köthe sequence spaces

Displaying similar documents to “On the non-commutative neutrix product $ln x_{+} \circ x_{+}^{- s}$ ”

On approximation of functions by certain operators preserving $x^{2}$

Moments of the product $F$ distribution.