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Matrix Transformations and Quasi-Newton Methods [PDF]

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   +5 more sources

Calculations on Matrix Transformations Involving an Infinite Tridiagonal Matrix [PDF]

open access: yesAxioms, 2021
Given any sequence z=znn≥1 of positive real numbers and any set E of complex sequences, we write Ez for the set of all sequences y=ynn≥1 such that y/z=yn/znn≥1∈E; in particular, sz0 denotes the set of all sequences y such that y/z tends to zero. Here, we
Ali Fares, Ali Ayad, Bruno de Malafosse
doaj   +2 more sources

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.
K. A. Jukes
openaire   +3 more sources

Matrix Transformations between Certain Sequence Spaces over the Non-Newtonian Complex Field [PDF]

open access: yesThe Scientific World Journal, 2014
In some cases, the most general linear operator between two sequence spaces is given by an infinite matrix. So the theory of matrix transformations has always been of great interest in the study of sequence spaces. In the present paper, we introduce the
Uğur Kadak, Hakan Efe
doaj   +2 more sources

New Results on the SSIE with an Operator of the form FΔƐ + Fx Involving the Spaces of Strongly Summable and Convergent Sequences Using the Cesàro Method

open access: yesAxioms, 2021
Given any sequence a=(an)n≥1 of positive real numbers and any set E of complex sequences, we can use Ea to represent the set of all sequences y=(yn)n≥1 such that y/a=(yn/an)n≥1∈E.
Bruno de Malafosse
doaj   +1 more source

Some Abelian, Tauberian and Core Theorems Related to the $(V,\lambda)$-Summability

open access: yesUniversal Journal of Mathematics and Applications, 2021
For a non-decreasing sequence of positive integers tending to infinity $\lambda=(\lambda_m)$ such that $\lambda_{m+1}-\lambda_m\leq 1$, $\lambda_1=1$; $(V,\lambda)$-summability has been defined as the limit of the generalized de la Val\'{e}e-Pousin of a
Merve Temizer Ersoy
doaj   +1 more source

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

A novel approach for fabricating a CNT/AlSi composite with the self-aligned nacre-like architecture by cold spraying

open access: yesNano Materials Science, 2019
A fully dense carbon nanotubes (CNTs) reinforced AlSi matrix composite with the multiscale nacre-like architecture was designed and successfully realized by flake powder metallurgy followed by cold spraying (CS).
Xinliang Xie   +7 more
doaj   +1 more source

Microstructure of Multi-Pass Friction-Stir-Processed Al-Zn-Mg-Cu Alloys Reinforced by Nano-Sized TiB2 Particles and the Effect of T6 Heat Treatment

open access: yesMetals, 2017
In this work, a fine-grained structure with a uniform distribution of TiB2 particles and precipitates was achieved in TiB2 particle-reinforced (PR) Al-Zn-Mg-Cu alloys by friction stir processing (FSP). The effects of multi-pass FSP on the microstructure,
Xiaofei Ju   +7 more
doaj   +1 more source

Novel Composite Powders with Uniform TiB2 Nano-Particle Distribution for 3D Printing

open access: yesApplied Sciences, 2017
It is reported that the ductility and strength of a metal matrix composite could be concurrently improved if the reinforcing particles were of the size of nanometers and distributed uniformly.
Mengxing Chen   +8 more
doaj   +1 more source

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