Results 51 to 60 of about 2,617,315 (120)

Construction of Lacunary Sequence Spaces via Modulus Function and Nörlund-Mean of Order α

Axioms
In this work, we introduce new classes of lacunary sequence spaces based on Nörlund-type means, a sequence of modulus functions and the order parameter ...
Hong-Wei Wang, Priyanka Sharma, Kuldip Raj, Sunil K. Sharma, Qing-Bo Cai   +4 more
doaj   +1 more source

Recent Developments on Summability Theory and Its Applications

, 2015
Journal of Function Spaces, Volume 2015, Issue 1, 2015.
Mikail Et, Mohammad Mursaleen, Syed Abdul Mohiuddine, Mahmut Işık, Jeff Connor, Feyzi Başar   +5 more
wiley   +1 more source

On Some Properties of New Paranormed Sequence Space of Nonabsolute Type [PDF]

Abstract and Applied Analysis, 2012
We introduce some new generalized sequence space related to the space ℓ(p). Furthermore we investigate some topological properties as the completeness, the isomorphism, and also we give some inclusion relations between this sequence space and some of the other sequence spaces.
Karakaya, Vatan, Şimşek, Necip
openaire   +6 more sources

A New Paranormed Sequence Space Defined by Regular Bell Matrix [PDF]

, 2023
This paper aims to construct a new paranormed sequence space by the aid of a regular matrix of Bell numbers. As well, its special duals such as α−,β−,γ−  duals are presented and Schauder basis is determined.
Muhammet Cihat Dağlı, Murat Karakaş
core   +1 more source

Function Spaces, Compact Operators, and Their Applications

, 2014
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014.
S. A. Mohiuddine, M. Mursaleen, Adem Kiliçman, Abdullah Alotaibi   +3 more
wiley   +1 more source

On the paranormed space L(t) of double sequences

Filomat, 2018
In this paper, we introduce the paranormed sequence space L(t) which is the generalization of the space Lq of all absolutely q-summable double sequences. We examine some topological properties of the space L(t) and determine its alpha-, beta- and gamma-duals.
Hüsamettin Çapan, Feyzi Başar
openaire   +2 more sources

$\mathcal{I}$-Convergence Sequence Paranormed Spaces of Order (α, β)

Axioms
In this paper, we introduce and rigorously define a novel class of difference sequence spaces, denoted by wI(M,∆vu,r)αβ, w0I(M,∆vu,r)αβ, w∞I(M,∆vu,r)αβ, and w∞(M,∆vu,r)αβ.
Lian-Ta Su, Ravi Kumar, Sunil K. Sharma, Ajay K. Sharma, Qing-Bo Cai   +4 more
doaj   +1 more source

A New Paranormed Sequence Space Defined by Euler Totient Matrix [PDF]

, 2019
In the present paper, by using the regular matrix given by Euler Totient function, we give a new paranormed sequence space ,(?,p) and prove that the spaces ,(?,p) and ,(p) are linearly isomorphic.
İlkhan, Merve, Demiriz, Serkan, Kara, Emrah Evren   +2 more
core   +1 more source

Statistical Convergence Of Double Sequence In Paranormed Spaces

Journal of Mathematics and Computer Science, 2014
3 Abstract In this article we define and investigate statistical convergence and Cauchy for double sequences in paranormed spaces. We also obtain a criterion for a double sequence in paranormed spaces to be a statistical Cauchy sequence.
Fatemeh Amouei Arani, Madjid Eshaghi Gordji, Soraya Talebi   +2 more
openaire   +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   +1 more source