Zobrazeno 1 - 10
of 3 813
pro vyhledávání: '"Sequence space"'
Publikováno v:
Demonstratio Mathematica, Vol 57, Iss 1, Pp 104-110 (2024)
In this article, we use the notion of lacunary statistical convergence of order (α,β)\left(\alpha ,\beta ) to introduce new sequence spaces by lacunary sequence, invariant means defined by Musielak-Orlicz function ℳ=(ℵk){\mathcal{ {\mathcal M}
Externí odkaz:
https://doaj.org/article/7252b65b1f1040718769c9658c2db77e
Publikováno v:
eLife, Vol 12 (2024)
A protein’s genetic architecture – the set of causal rules by which its sequence produces its functions – also determines its possible evolutionary trajectories. Prior research has proposed that the genetic architecture of proteins is very comp
Externí odkaz:
https://doaj.org/article/322993c1c1ed478d814735598c95cd5f
Autor:
Uskan Devletli, Merve Ilkhan Kara
Publikováno v:
Communications in Advanced Mathematical Sciences, Vol 6, Iss 4, Pp 211-225 (2023)
In this study, a special lower triangular matrix derived by combining Riesz matrix and Jordan totient matrix is used to construct new Banach spaces. $\alpha-$,$\beta-$,$\gamma-$duals of the resulting spaces are obtained and some matrix operators are
Externí odkaz:
https://doaj.org/article/89520d06ee7d4b76ba803b0075f2fd2c
Autor:
Shaoqiang Shang
Publikováno v:
Communications in Analysis and Mechanics, Vol 15, Iss 4, Pp 831-846 (2023)
In this paper, we first prove that the space $ (X, \|\cdot\|) $ is separable if and only if for every $ \varepsilon\in $ $ (0, 1) $, there is a dense subset $ G $ of $ X^{*} $ and a $ w^{*} $-lower semicontinuous norm $ \|\cdot\|_{0} $ of $ X^{*} $ s
Externí odkaz:
https://doaj.org/article/7aa7e97b10f34003b5fdfdc17ee66ad9
Publikováno v:
Axioms, Vol 13, Iss 9, p 626 (2024)
In this paper, we introduce and rigorously define a novel class of difference sequence spaces, denoted by wI(M,∆vu,r)αβ, w0I(M,∆vu,r)αβ, w∞I(M,∆vu,r)αβ, and w∞(M,∆vu,r)αβ. These spaces are constructed through the application of th
Externí odkaz:
https://doaj.org/article/6f4cef7371334804bf46dfaf7a7c99d5
Autor:
M.A. Sarıgöl
Publikováno v:
Karpatsʹkì Matematičnì Publìkacìï, Vol 15, Iss 1, Pp 236-245 (2023)
Using the uniform boundedness principle of Maddox, we characterize matrix transformations from the space $(\ell_{p}) _{T}$ to the spaces $m(\phi )$ and $n(\phi )$ for the case $1\leq p\leq \infty$, which correspond to bounded linear operators. Here $
Externí odkaz:
https://doaj.org/article/e824c05a7af9470281ae383dae4261b4
Autor:
Orhan Tug
Publikováno v:
Eurasian Journal of Science and Engineering, Vol 9, Iss 2, Pp 195-207 (2023)
In this article, we defined a Nörlund type matrix 𝐴 = (𝑎𝑛𝑘) by 𝑎𝑛𝑘 = { 1 , 𝑘 = 𝑛 = 0 1 2 , 𝑛 − 1 ≤ 𝑘 ≤ 𝑛 0 , 𝑜𝑡ℎ𝑒𝑟𝑣𝑖𝑠𝑒 . Then we showed that the Nörlund type matrix 𝐴 =
Externí odkaz:
https://doaj.org/article/2184b46b46dc4928a91a539a0dfc442a
Autor:
Paweł Foralewski, Krzysztof Piszczek
Publikováno v:
Journal of Inequalities and Applications, Vol 2023, Iss 1, Pp 1-17 (2023)
Abstract We study Orlicz sequence algebras and their properties. In particular, we fully characterize biflat and biprojective Orlicz sequence algebras as well as weakly amenable and approximately (semi-)amenable Orlicz sequence algebras. As a consequ
Externí odkaz:
https://doaj.org/article/1d9a5e1a4a3f49eca45a4762dd8931ef