Results 11 to 20 of about 628,164 (291)
On the Spaces of $\lambda _{r}$-almost Convergent and $\lambda _{r}$-almost Bounded Sequences [PDF]
The aim of the present work is to introduce the concept of $\lambda _{r}$-almost convergence of sequences. We define the spaces $f\left( \lambda _{r}\right) $ and $f_{0}\left( \lambda _{r}\right) $ of $ \lambda _{r}$-almost convergent and $\lambda _{r ...
Sinan Ercan
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New Results on the Sequence Spaces Inclusion Equations of the Form
We determine the multipliers M(X,Y) where X, Y∈{w0,w,w∞}, and we apply these results to the solvability of both the (SSIE) of the form F⊂E+wx, where F∈{w0,w,w∞}, and the (SSIE) w⊂E+Wx0 and w⊂E+Wx.
Bruno de Malafosse +2 more
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The binomial sequence spaces of nonabsolute type
In this paper, we introduce the binomial sequence spaces b 0 r , s $b^{r,s}_{0}$ and b c r , s $b^{r,s}_{c}$ of nonabsolute type which include the spaces c 0 $c_{0}$ and c, respectively.
Mustafa Cemil Bişgin
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Logarithmic matrix transformations into Gw
We introduced the logarithmic matrix Lt and studied it as mappings into ℓ and G in 1998 and 2000, respectively. In this paper, we study Lt as mappings into Gw.
Mulatu Lemma
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On the Domain of the Fibonacci Difference Matrix
Matrix F^ derived from the Fibonacci sequence was first introduced by Kara (2013) and the spaces lp(F) and l∞(F); (1 ≤ p < ∞) were examined. Then, Başarır et al. (2015) defined the spaces c0(F) and c(F) and Candan (2015) examined the
Fevzi Yaşar, Kuddusi Kayaduman
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Matrix transformations and convex spaces
In a Hausdorff topological linear space we examine relations between r-convexity and a condition on matrix transformations between null sequences. In particular, for metrizable spaces the condition implies r-convexity.
I. J. Maddox
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Equiconvergence of matrix transformations [PDF]
Equiconvergence of matrix transformations is related to the existence of Tauberian constants. Agnew’s result on the equiconvergence of Cesàro and Riesz means is shown to be best possible. Finally, equiconvergence of equivalent arithmetical summation methods related to the prime number theorem is investigated.
openaire +2 more sources
Matrix Transformations and Quasi-Newton Methods
We first recall some properties of infinite tridiagonal matrices considered as matrix transformations in sequence spaces of the forms sξ, sξ∘, sξ(c), or lp(ξ).
Boubakeur Benahmed +2 more
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Matrix transformations of starshaped sequences
We deal with matrix transformations preserving the starshape of sequences. The main result gives the necessary and sufficient conditions for a lower triangular matrix A to preserve the starshape of sequences.
Chikkanna R. Selvaraj, Suguna Selvaraj
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Programming matrix optics into Mathematica [PDF]
The various non-linear transformations incurred by the rays in an optical system can be modelled by matrix products up to any desired order of approximation.
Almeida +5 more
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