Results 11 to 20 of about 8,296,713 (306)

Sequence Spaces and Spectrum of q-Difference Operator of Second Order

Symmetry, 2022
The sequence spaces ℓp(∇q2)(0 ...
Abdullah Alotaibi, Taja Yaying, S. A. Mohiuddine   +2 more
semanticscholar   +1 more source

Statistical convergence of new type difference sequences with Caputo fractional derivative

AIMS Mathematics, 2022
In this study, we discuss the idea of difference operators $ \Delta _{p}^{\alpha }, \Delta _{p}^{\left(\alpha \right) } $ $ \left(\alpha \in \mathbb{R}\right) $ and examine some properties of these operators.
Abdulkadir Karakaş
doaj   +1 more source

On the geometry of the multiplier space of ℓpA

Concrete Operators, 2022
For p ∈ (1, ∞) \ {2}, some properties of the space ℳp of multipliers on ℓpA are derived. In particular, the failure of the weak parallelogram laws and the Pythagorean inequalities is demonstrated for ℳp.
Felder Christopher, Cheng Raymond
doaj   +1 more source

Zero product preserving bilinear operators acting in sequence spaces

Karpatsʹkì Matematičnì Publìkacìï, 2020
Consider a couple of sequence spaces and a product function $-$ a canonical bilinear map associated to the pointwise product $-$ acting in it. We analyze the class of "zero product preserving" bilinear operators associated with this product, that are ...
E. Erdoğan
doaj   +1 more source

Strongly Summable Vector-Valued Sequence Spaces Defined by 2-modular

Cauchy: Jurnal Matematika Murni dan Aplikasi, 2021
Summability is an important concept in sequence spaces. One summability concept is strongly Cesaro summable. In this paper, we study a subset of the set of all vector-valued sequence in 2-modular space.
Burhanudin Arif Nurnugroho, Puguh Wahyu Prasetyo   +1 more
doaj   +1 more source

On some generalized q-difference sequence spaces

AIMS Mathematics, 2023
In this study, we construct the spaces of $ q $-difference sequences of order $ m $. We obtain some inclusion relations, topological properties, Schauder basis and alpha, beta and gamma duals of the newly defined spaces.
Hacer Bilgin Ellidokuzoğlu , Serkan Demiriz   +1 more
doaj   +1 more source

Super-critical Hardy-Littlewood inequalities for multilinear forms [PDF]

Anais da Academia Brasileira de Ciências, 2023
The multilinear Hardy-Littlewood inequalities provide estimates for the sum of the coefficients of multilinear forms T ∶ ℓ p 1 n × ⋯ × ℓ p m n → R ( or C ) when 1 / p 1 × ⋯ × 1 / p m < 1.
DANIEL NÚÑEZ-ALARCÓN, DJAIR PAULINO, DANIEL PELLEGRINO   +2 more
doaj   +1 more source

Morrey Sequence Spaces: Pitt’s Theorem and Compact Embeddings [PDF]

Constructive approximation, 2018
Morrey (function) spaces and, in particular, smoothness spaces of Besov–Morrey or Triebel–Lizorkin–Morrey type have enjoyed a lot of interest recently. Here we turn our attention to Morrey sequence spaces $$m_{u,p}=m_{u,p}(\mathbb {Z}^d)$$ m u , p = m u ,
D. Haroske, L. Skrzypczak
semanticscholar   +1 more source

Reduced space sequence alignment [PDF]

Bioinformatics, 1997
Sequence alignment is the problem of finding the optimal character-by-character correspondence between two sequences. It can be readily solved in O(n2) time and O(n2) space on a serial machine, or in O(n) time with O(n) space per O(n) processing elements on a parallel machine.
J A, Grice, R, Hughey, D, Speck
openaire   +2 more sources

Difference sequence spaces

International Journal of Mathematics and Mathematical Sciences, 1998
In [1] Sr(Δ):={x=(xk):(kr|Δxk|)k=1∞∈c0} for r≥1 is studied. In this paper, we generalize this space to Sr(p,Δ) for a sequence of strictly positive reals. We give a characterization of the matrix classes (Sr(p,Δ),ℓ∞) and (Sr(p,Δ),ℓ1).
A. K. Gaur, Mursaleen
doaj   +1 more source