Results 11 to 20 of about 35,855 (292)

Ideal convergence generated by double summability methods

Demonstratio Mathematica, 2016
The main result of this note is that if I is an ideal generated by a regular double summability matrix summability method T that is the product of two nonnegative regular matrix methods for single sequences, then I-statistical convergence and convergence
Connor Jeff
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On asymptotically Wijsman lacunary statistical convergence of set sequences in ideal context

Filomat, 2017
In this paper, we introduce some definitions which are natural combination of the notions of asymptotic equivalence, statistical convergence, lacunary statistical convergence, Wijsman convergence and ideal. In addition, we also define the concept of asymptotically equivalent sequences of sets in the sense ofWijsman convergence and prove ...
Hazarika, Bipan, Esi, Ayhan
openaire   +4 more sources

Generalized s r I  -statistical convergence in intuitionistic fuzzy normed linear space [PDF]

Songklanakarin Journal of Science and Technology (SJST), 2018
The notion of lacunary ideal convergence in intuitionistic fuzzy normed linear space (IFNLS) was introduced in (Debnath, 2012). As a continuation of this work, in the present paper, we introduce and study the new concept of s r I  -statistical ...
Nabanita Konwar, Pradip Debnath
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New Perspectives on Generalised Lacunary Statistical Convergence of Multiset Sequences [PDF]

Mathematics
This paper explores the concepts of J-lacunary statistical limit points, J-lacunary statistical cluster points, and J-lacunary statistical Cauchy multiset sequences.
María C. Listán-García, Ömer Kişi, Mehmet Gürdal   +2 more
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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

I-Statistical Rough Convergence of Order α

Journal of New Theory, 2022
The aim of this paper is to define the concept of I-statistical (I-st) rough convergence of order α (0 < α ≤ 1). It proposes the concept of I-st bounded of order α.
Sevcan Bulut, Aykut Or
doaj   +1 more source

Some properties of $I_3$-λ-statistical cluster points

Dera Natung Government College Research Journal, 2022
In this note, we investigate some problems concerning the set of λ-statistical cluster points of triple sequences via ideals in finite dimensional spaces, and some of its properties in finite dimensional Banach spaces are proved.
Verda Gürdal, Ömer Kişi
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Some new lacunary statistical convergence with ideals [PDF]

Journal of Inequalities and Applications, 2017
In this paper, the idea of lacunary [Formula: see text]-statistical convergent sequence spaces is discussed which is defined by a Musielak-Orlicz function. We study relations between lacunary [Formula: see text]-statistical convergence with lacunary [Formula: see text]-summable sequences.
KILICMAN, A, BORGOHAIN, S
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Ideal statistical convergence and ideal statistical Cauchy sequences in two normed spaces over non archimedean fields [PDF]

AIP Conference Proceedings, 2020
Let K be a complete, locally compact, non-trivially valued non-archimedean field. In this paper, Ideal- Statistical Convergence and Ideal Statistical Cauchy Sequences are defined and investigated in two normed spaces over ultra metric fields.
K. Suja, S. Sangeetha
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ON GENERALIZATIONS OF WEAK STATISTICAL CONVERGENCE VIA IDEALS [PDF]

International Journal of Pure and Apllied Mathematics, 2015
Statistical convergence was introduced by Fast [5] in the mid of last century as a generalization of the ordinary convergence of a sequence. He used the concept of natural density of subsets of N, the set of positive integers. The natural density of a setK ⊂ N, is denoted by δ(K) and is defined by δ(K) = limn 1 n ∑n k=1 χK(k) provided the limit exists.
M. Chawla, M.S. Saroa, V. Kumar
openaire   +1 more source