Results 11 to 20 of about 35,845 (259)
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
doaj +1 more source
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
openaire +5 more sources
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
openaire +1 more source
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
A generalized statistical convergence via ideals
Applied Mathematics Letters, 2011 The notion of \(\lambda\)-statistical convergence was introduced by \textit{Mursaleen} [Math. Slovaca 50, No.~1, 111--115 (2000; Zbl 0953.40002)] as an extension of the \([V, \lambda]\) summability of \textit{L. Leindler} [Publ. Math. 10, 274--282 (1964; Zbl 0129.05002)]. The authors introduce the concepts of \(I\)-\([V, \lambda]\)-summability and \(I\)
Savaş, Ekrem, Das, Pratulananda
openaire +1 more source
Lacunary ℐ-Invariant Convergence of Sequence of Sets in Intuitionistic Fuzzy Metric Spaces
Journal of Mathematics, 2021 The concepts of invariant convergence, invariant statistical convergence, lacunary invariant convergence, and lacunary invariant statistical convergence for set sequences were introduced by Pancaroğlu and Nuray (2013).
Mualla Birgül Huban
doaj +1 more source
Ideally Statistical Convergence in n-normed Space
Journal of Advances in Mathematics and Computer Science, 2020 The aim of the article is to extend the concept of Ideally statistical convergence from 2 normed spaces to n-normed space. We have also study and prove some important algebraic and topological properties of Ideally-statistical convergence of real sequences in n-normed space.
Amani Shatarah, Nazneen Khan
openaire +2 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
doaj +1 more source
ON GENERALIZED STATISTICAL CONVERGENCE OF DOUBLE SEQUENCES VIA IDEALS IN INTUITIONISTIC FUZZY NORMED SPACES [PDF]
Facta Universitatis, Series: Mathematics and Informatics, 2021 In this paper, we introduce the concept of I₂-lacunary statistical convergence and strongly I₂-lacunary convergence with respect to the intuitionistic fuzzy norm (μ,v), investigate their relationship, and make some observations about these classes. We mainly examine the relation between these two new methods and the relation between I₂-statistical ...
Kişi, Ömer, Kişi, Ömer
openaire +2 more sources