Results 91 to 100 of about 9,818 (190)

Directed bases with net convergence [PDF]

Surveys in Mathematics and its Applications
The concept of a basis having a sequence of elements in a topological vector space is extended to a concept of a directed basis having a net of elements in a topological vector space.
AR. Murugan, C. Ganesa Moorthy, CT. Ramasamy   +2 more
doaj  

On q-Pell sequence spaces: A study of operator ideals and geometric properties

Kuwait Journal of Science
The matrix \( \mathcal{P}(q) = \{\Psi_{\lambda \mu}(q)\}_{\lambda, \mu \in \mathbb{N}} \), called the \( q \)-Pell matrix, with elements determined by \[ \mathcal{P}(q) = \begin{cases} \dfrac{2~q^{\mu-1}~\Psi{_\mu(q)}}{\Psi{_{\lambda+1}(q)}+\Psi{_ ...
Shiva Shah, Bipan Hazarika
doaj   +1 more source

Construction of the log‐convex minorant of a sequence {Mα}α∈N0d$\lbrace M_\alpha \rbrace _{\alpha \in \mathbb {N}_0^d}$

Mathematische Nachrichten, Volume 298, Issue 2, Page 456-477, February 2025.
Abstract We give a simple construction of the log‐convex minorant of a sequence {Mα}α∈N0d$\lbrace M_\alpha \rbrace _{\alpha \in \mathbb {N}_0^d}$ and consequently extend to the d$d$‐dimensional case the well‐known formula that relates a log‐convex sequence {Mp}p∈N0$\lbrace M_p\rbrace _{p\in \mathbb {N}_0}$ to its associated function ωM$\omega _M$, that
Chiara Boiti, David Jornet, Alessandro Oliaro, Gerhard Schindl   +3 more
wiley   +1 more source

Binomial difference sequence spaces of order m

Advances in Difference Equations, 2017
In this paper, we introduce the binomial sequence spaces b 0 r , s ( ∇ ( m ) ) $b^{r,s}_{0}(\nabla^{(m)})$ , b c r , s ( ∇ ( m ) ) $b^{r,s}_{c}(\nabla^{(m)})$ and b ∞ r , s ( ∇ ( m ) ) $b^{r,s}_{\infty}(\nabla^{(m)})$ by combining the binomial ...
Jian Meng, Meimei Song
doaj   +1 more source

Viscoelasticity, logarithmic stresses, and tensorial transport equations

Mathematical Methods in the Applied Sciences, Volume 48, Issue 3, Page 2934-2953, February 2025.
We introduce models for viscoelastic materials, both solids and fluids, based on logarithmic stresses to capture the elastic contribution to the material response. The matrix logarithm allows to link the measures of strain, that naturally belong to a multiplicative group of linear transformations, to stresses, that are additive elements of a linear ...
Gennaro Ciampa, Giulio G. Giusteri, Alessio G. Soggiu   +2 more
wiley   +1 more source

On Motzkin sequence spaces via q-analog and compact operators

Demonstratio Mathematica
We aim to develop a qq-analog of recently introduced Motzkin sequence spaces by Erdem et al. [Motzkin sequence spaces and Motzkin core, Numer. Funct. Anal. Optim. 45 (2024), no.
Yaying Taja, Mursaleen Mohammad
doaj   +1 more source

Generalized concept of $J$-basis [PDF]

Sahand Communications in Mathematical Analysis, 2015
A generalization of Schauder basis associated with the concept of generalized analytic functions is introduced. Corresponding concepts of density, completeness, biorthogonality and basicity are defined.
Tofig Najafov
doaj  

Milloux Inequality of E-Valued Meromorphic Function

The Scientific World Journal, 2014
The main purpose of this paper is to establish the Milloux inequality of E-valued meromorphic function from the complex plane ℂ to an infinite dimensional complex Banach space E with a Schauder basis.
Zhaojun Wu, Zuxing Xuan
doaj   +1 more source

Boundedness of Lebesgue Constants and Interpolating Faber Bases

Наукові вісті Національного технічного університету України "Київський політехнічний інститут", 2017
Background. We investigate the relationship between the boundedness of Lebesgue constants for the Lagrange polynomial interpolation on a compact subset of \[\mathbb R\] and the existence of a Faber basis in the space of continuous functions on this ...
Viktoriia V. Bilet, Oleksiy A. Dovgoshey, Jürgen Prestin   +2 more
doaj   +1 more source

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   +1 more source