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
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Statistical convergence and ideal convergence for sequences of functions [PDF]
Journal of Mathematical Analysis and Applications, 2007 The paper discusses various types of statistical convergence and ideal convergence for sequences of functions with real values or with values in a more general metric space. The authors present very thoroughly the definitions and types of ideal convergence for functions and prove several results regarding ideal pointwise and ideal uniform convergence ...
Balcerzak, Marek +2 more
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New Perspectives on Generalised Lacunary Statistical Convergence of Multiset Sequences [PDF]
MathematicsThis 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 +2 more
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ℐ-αβ-statistical relative uniform convergence for double sequences and its applications [PDF]
Demonstratio MathematicaThis article introduces a novel concept of convergence, referred to as ℐ{\mathcal{ {\mathcal I} }}-αβ\alpha \beta -statistical relative uniform convergence, for double sequences of functions.
Bayram Nilay Sahin, Yıldız Sevda
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Ideal convergence of sequences in neutrosophic normed spaces [PDF]
, 2021 Statistical convergence of sequences has been studied in neutrosophic normed spaces (NNS) by Kirisci and Simsek [39]. Ideal convergence is more general than statistical convergence for sequences.
Kişi, Ömer, 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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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
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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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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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