Results 1 to 10 of about 112 (98)

On 2 - normed space valued paranormed null sequence space [PDF]

Bibechana, 2013
In this paper we introduce and study a new class c0 ( S, α‾ , u‾ , ||. , .|| ) of sequences with values in 2- normed space as a generalization of basic null sequence space c0. We investigate some conditions pertaining to the containment relations of the
Narayan Prasad Pahari
doaj   +4 more sources

On Paranorm Zweier -Convergent Sequence Spaces

Journal of Mathematics, 2013
In this paper, we introduce the paranorm Zweier -convergent sequence spaces , , and , a sequence of positive real numbers. We study some topological properties, prove the decomposition theorem, and study some inclusion relations on these spaces.
Vakeel A. Khan, Khalid Ebadullah, Ayhan Esi, Nazneen Khan, Mohd Shafiq   +4 more
doaj   +2 more sources

Modeling Spheres in Some Paranormed Sequence Spaces

Mathematics, 2022
We introduce a new sequence space hA(p), which is not normable, in general, and show that it is a paranormed space. Here, A and p denote an infinite matrix and a sequence of positive numbers.
Vesna I. Veličković, Eberhard Malkowsky, Edin Dolićanin   +2 more
doaj   +2 more sources

On fuzzy paranormed spaces

International Journal of General Systems, 2022
It is well-known that Paranormed spaces have more general properties than normed spaces. Until recently, the concept of paranorm has not been considered with the set of fuzzy numbers and there are no studies in literature from this point of view. So, our main aim in this work is to apply this notion to the set of fuzzy numbers and give the new concepts
Muhammed Çinar, Mikail Et, Murat Karakas   +2 more
openaire   +3 more sources

Some mixed paranorm spaces

Filomat, 2017
We generalize the concept of mixed norm spaces and define a class of mixed paranorm spaces, study their fundamental topological properties and determine their first and second duals.
Faruk Özger
exaly   +2 more sources

Matrix transformations on mixed paranorm spaces

Filomat, 2017
Recently the concept of mixed norm spaces was generalized to that of the mixed paranorm spaces [l(r),lp]<k(v)>. Here we determine the classes of matrix transformations from [l(r),lp]<k(v)> into the spaces of bounded, convergent and ...
Faruk Özger
exaly   +2 more sources

Ideal (I₂) Convergence in Fuzzy Paranormed Spaces for Practical Stability of Discrete-Time Fuzzy Control Systems Under Lacunary Measurements

Axioms
We investigate the stability of linear discrete-time control systems with a fuzzy logic feedback under sporadic sensor data loss. In our framework, each state measurement is a fuzzy number, and occasional “packet dropouts” are modeled by a lacunary ...
Muhammed Recai Türkmen, Hasan Öğünmez   +1 more
doaj   +2 more sources

On paranorm intuitionistic fuzzy I-convergent sequence spaces defined by compact operator

International Journal of Advanced and Applied Sciences, 2017
Khan et al., null null
exaly   +2 more sources

F-seminorms on generalized double sequence spaces defined by modulus functions; pp. 121–132 [PDF]

Proceedings of the Estonian Academy of Sciences, 2014
Using a double sequence of modulus functions and a solid double scalar sequence space, we determine F-seminorm and F-norm topologies for certain generalized linear spaces of double sequences.
Enno Kolk, Annemai Raidjõe
doaj   +1 more source

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