Results 61 to 70 of about 482 (178)
On some binomial B ( m ) $B^{(m)}$ -difference sequence spaces
Journal of Inequalities and Applications, 2017 In this paper, we introduce the binomial sequence spaces b 0 a , b ( B ( m ) ) $b^{a,b}_{0}(B^{(m)})$ , b c a , b ( B ( m ) ) $b^{a,b}_{c}(B^{(m)})$ and b ∞ a , b ( B ( m ) ) $b^{a,b}_{\infty}(B^{(m)})$ by combining the binomial transformation and ...
Jian Meng, Meimei Song
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Controllability and Modeling Perspectives of Tempered Ψ‐Caputo Fractional Systems
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this article, we investigated the controllability of fractional dynamical systems (FDS) involving the tempered Ψ‐Caputo fractional derivative (FD). First, we derived the solution representation for this generalized FD with the help of Laplace transform and Mittag–Leffler (M‐L) function.
Inzamamul Haque +3 more
wiley +1 more source
Some normed binomial difference sequence spaces related to the ℓ p $\ell_{p}$ spaces
Journal of Inequalities and Applications, 2017 The aim of this paper is to introduce the normed binomial sequence spaces b p r , s ( ∇ ) $b^{r,s}_{p}(\nabla)$ by combining the binomial transformation and difference operator, where 1 ≤ p ≤ ∞ $1\leq p\leq\infty$ .
Meimei Song, Jian Meng
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Spaces of holomorphic mappings on Banach spaces with a Schauder basis [PDF]
Studia Mathematica, 1997 Let \(H(U,F)\) denote the space of all holomorphic mappings from a balanced open subset \(U\) of a Banach space \(E\) to a Banach space \(F\). The author proves that if \(E\) has a Schauder basis, then the Nachbin and bornological topologies coincide on \(H(U,F)\). The theorem is obtained via a refinement of a previous proof by \textit{S. Dineen} [Math.
openaire +2 more sources
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this paper, we introduce new Fibonacci‐type difference sequence spaces defined by a modulus function f, specifically focusing on the sequence space lGu,v,f,p, where p = (pk) is an arbitrary bounded sequence of positive real numbers. These spaces consist of all sequences whose transforms under the generalized Fibonacci band matrix G(u, v) belong to ...
Sunil K. Sharma +4 more
wiley +1 more source
Directed bases with net convergence [PDF]
Surveys in Mathematics and its ApplicationsThe 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 +2 more
doaj
On q-Pell sequence spaces: A study of operator ideals and geometric properties
Kuwait Journal of ScienceThe 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
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Brouwer’s Fixed Point Theorem and Open Mapping Theorem in Hemi‐Normed Spaces
Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper aims for the further development of hemi‐normed spaces, which is a proper extension of normed spaces. In this regard, we establish some fundamental results of functional analysis, including Brouwer’s theorem and Schauder’s fixed point theorem for hemi‐normed spaces.
Liaqat Ali +4 more
wiley +1 more source
On Motzkin sequence spaces via q-analog and compact operators
Demonstratio MathematicaWe 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
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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