Results 11 to 20 of about 30,330 (245)

On Some New Sequence Spaces and Their Duals

Journal of Mathematics
In this study, we defined some new sequence spaces using regular Tribonacci matrix. We examined some properties of these spaces such as completeness, Schauder basis. We have identified α−,β−, and γ−duals of the newly created spaces.
Damla Barlak
doaj   +2 more sources

On the Classical Paranormed Sequence Spaces and Related Duals over the Non-Newtonian Complex Field

Journal of Function Spaces, 2015
The studies on sequence spaces were extended by using the notion of associated multiplier sequences. A multiplier sequence can be used to accelerate the convergence of the sequences in some spaces.
Uğur Kadak, Murat Kirişci, Ahmet Faruk Çakmak   +2 more
doaj   +2 more sources

The binomial sequence spaces of nonabsolute type

Journal 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   +2 more sources

The binomial sequence spaces which include the spaces ℓ p $\ell_{p}$ and ℓ ∞ $\ell_{\infty}$ and geometric properties

Journal of Inequalities and Applications, 2016
In this work, we introduce the binomial sequence spaces b p r , s $b^{r,s}_{p}$ and b ∞ r , s $b^{r,s}_{\infty}$ which include the spaces ℓ p $\ell_{p}$ and ℓ ∞ $\ell _{\infty}$ , in turn. Moreover, we show that the spaces b p r , s $b^{r,s}_{p}$ and b ∞
Mustafa Cemil Bişgin
doaj   +2 more sources

Copper Lacus Sequence Spaces Associated With Operator Ideals and Their Geometric Properties

Journal of Mathematics
In this research, we introduce the regular Copper Lucas matrix operator, which is based on the Copper Lucas sequence. We investigate the sequence spaces c0Γ and cΓ, as well as lpΓ for 1≤p≤∞, all of which are linked to the newly defined regular Copper ...
Shiva Shah, Bipan Hazarika, Awd Bkri, Runda A. A. Bashir   +3 more
doaj   +2 more sources

On paranormed Ideal convergent sequence spaces defined by Jordan totient function

Journal of Inequalities and Applications, 2021
The study of sequence spaces and summability theory has been an important aspect in defining new notions of convergence for the sequences that do not converge in the usual sense.
Vakeel A. Khan, Umme Tuba
doaj   +2 more sources

Paranormed Norlund Nᵗ- difference sequence spaces and their α-, β- and γ-duals

Proyecciones (Antofagasta), 2023
Kizmaz [4] defined some difference spaces viz., ℓ∞ (∆), c(∆) and c0(∆) and studied by Et and Colak [1] thoroughly. In this paper, Norlund Nt- difference sequence spaces Nt(c0, p, ∆), Nt(c, p, ∆) and Nt(ℓ∞, p, ∆) contain the sequences whose Nt∆-transforms
Sukhdev Singh, ToseefAhmed Malik
semanticscholar   +1 more source

Lorentz Transformation and Light-Like Noncommutative SYM [PDF]

, 2000
We show that combining the spatial noncommutative SYM limit and Lorentz transformation, one can obtain a well-behaved light-like noncommutative SYM limit. The light-like noncommutative SYM is unitary.
Cai, Rong-Gen, Ohta, Nobuyoshi
core   +2 more sources

On Dumb Holes and their Gravity Duals [PDF]

, 2011
Inhomogeneous fluid flows which become supersonic are known to produce acoustic analogs of ergoregions and horizons. This leads to Hawking-like radiation of phonons with a temperature essentially given by the gradient of the velocity at the horizon.
Das, Sumit R., Ghosh, Archisman, Oh, Jae-Hyuk, Shapere, Alfred D.   +3 more
core   +2 more sources

On Some Sequence Spaces via q-Pascal Matrix and Its Geometric Properties

Symmetry, 2023
We develop some new sequence spaces 𝓁p(P(q)) and 𝓁∞(P(q)) by using q-Pascal matrix P(q). We discuss some topological properties of the newly defined spaces, obtain the Schauder basis for the space 𝓁p(P(q)) and determine the Alpha-(α-), Beta-(β-) and ...
Taja Yaying, B. Hazarika, M. Et
semanticscholar   +1 more source