Results 1 to 10 of about 207 (103)

On β-dual of vector-valued sequence spaces of Maddox

International Journal of Mathematics and Mathematical Sciences, 2002
The β-dual of a vector-valued sequence space is defined and studied. We show that if an X-valued sequence space E is a BK-space having AK property, then the dual space of E and its β-dual are isometrically isomorphic.
Suthep Suantai, Winate Sanhan
doaj   +2 more sources

Matrix Transformations between the Sequence Spaces of Maddox

Journal of Mathematical Analysis and Applications, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
exaly   +4 more sources

An Extension of Maddox’s Paranormed Sequence Spaces with Narayana Numbers

Journal of New Results in Science
This study focuses on constructing an extended version of Maddox’s paranormed sequence spaces, denoted by $c_0(N, p)$, $c(N, p)$, $\ell_\infty(N, p)$, and $\ell(N, p)$. The study aims to define and investigate the characteristics of these sequence spaces, along with their paranormed extensions.
Serkan DEMİRİZ, Hacer Bilgin Ellidokuzoglu   +1 more
exaly   +2 more sources

A study of certain sequence spaces of Maddox and a generalization of a theorem of Iyer [PDF]

Pacific Journal of Mathematics, 1971
exaly   +4 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   +1 more source

Matrix transformations of double convergent sequences with powers [PDF]

Proceedings of the Estonian Academy of Sciences
In 1967, I. J. Maddox generalized the spaces c0, c, ℓ∞ by adding the powers pk (k ∈ ℕ) in the definitions of the spaces to the terms of elements of sequences (xk). Gökhan and Çolak in 2004–2006 defined the corresponding double sequence spaces
Maria Zeltser, Şeyda Sezgek
doaj   +1 more source

Mr-factors and Qr-factors for near quasinorm on certain sequence spaces

International Journal of Mathematics and Mathematical Sciences, 2005
We study the multiplicativity factor and quadraticity factor for near quasinorm on certain sequence spaces of Maddox, namely, l(p) and l∞(p), where p=(pk) is a bounded sequence of positive real numbers.
Piyapong Niamsup, Yongwimon Lenbury
doaj   +1 more source

On the Paranormed Nörlund Sequence Space of Nonabsolute Type

Abstract and Applied Analysis, 2014
Maddox defined the space ℓ(p) of the sequences x=(xk) such that ∑k=0∞‍|xk ...
Medine Yeşilkayagil, Feyzi Başar
doaj   +1 more source

Domain of the Double Sequential Band Matrix in the Sequence Space

Abstract and Applied Analysis, 2013
The sequence space was introduced by Maddox (1967). Quite recently, the domain of the generalized difference matrix in the sequence space has been investigated by Kirişçi and Başar (2010).
Havva Nergiz, Feyzi Başar
doaj   +1 more source

Matrix Transformations of Double Convergent Sequences with Powers for the Pringsheim Convergence

Mathematics
In 2004–2006, the corresponding double sequence spaces were defined for the Pringsheim and the bounded Pringsheim convergence by Gokhan and Colak. In 2009, Colak and Mursaleen characterized some classes of matrix transformations transforming the space of
Maria Zeltser, Şeyda Sezgek
doaj   +1 more source