Results 11 to 20 of about 628,164 (291)

On the Spaces of $\lambda _{r}$-almost Convergent and $\lambda _{r}$-almost Bounded Sequences [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2020
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
doaj   +1 more source

New Results on the Sequence Spaces Inclusion Equations of the Form FE+Fx Where F, F′ ∈ {w0, w, w}

open access: yesAxioms, 2023
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
doaj   +1 more source

The binomial sequence spaces of nonabsolute type

open access: yesJournal of Inequalities and Applications, 2016
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
doaj   +1 more source

Logarithmic matrix transformations into Gw

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2004
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
doaj   +1 more source

On the Domain of the Fibonacci Difference Matrix

open access: yesMathematics, 2019
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
doaj   +1 more source

Matrix transformations and convex spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1988
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
doaj   +1 more source

Equiconvergence of matrix transformations [PDF]

open access: yesProceedings of the American Mathematical Society, 1978
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

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2007
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
doaj   +1 more source

Matrix transformations of starshaped sequences

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2001
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
doaj   +1 more source

Programming matrix optics into Mathematica [PDF]

open access: yes, 2004
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
core   +2 more sources

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