Results 1 to 10 of about 15,587,371 (311)
$I$ and $I^*$-convergence in topological spaces [PDF]
Mathematica Bohemica, 2005 Summary: We extend the idea of \(I\)-convergence and \(I^*\)-convergence of sequences to a topological space and derive several basic properties of these concepts in the topological space.
B. K. Lahiri, Pratulananda Das
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Demonstratio Mathematica, 2014 Abstract In this work, using the concept of I-convergence and using the concept of rough convergence, we introduced the notion of rough I-convergence and the set of rough I-limit points of a sequence and obtained two rough I-convergence criteria associated with this set. Later, we proved that this set is closed and convex.
Dündar, Erdinç, Çakan, Celal
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Riesz I–convergent sequence spaces
Proyecciones (Antofagasta), 2023 In this article we have introduced some new sequence spaces as a domain of triangular Riesz matrix, and study some of their algebraic and topological properties. Further, our work will devote to argue some inclosions regarding those fore-said sequence spaces.
Khan, Vakeel A., Rahman, Zahid
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Remarks on statistical and $I$-convergence of series [PDF]
Mathematica Bohemica, 2005 Summary: In this paper we investigate the relationship between the statistical (or generally \(I\)-convergence) of a series and the usual convergence of its subseries. We also give a counterexample which shows that Theorem~1 of the paper by \textit{B.\,C.\,Tripathy} [J.\ Math., Punjab Univ.\ 32, 1--8 (1999; Zbl 0966.40003)] is not correct.
Červeňanský, J. +2 more
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Lacunary I-Convergent Sequences [PDF]
Kyungpook mathematical journal, 2012 Summary: In this article we introduce the concepts of lacunary \(I\)-convergent sequences. We investigate its different properties like solid, symmetric, convergence free etc.
Tripathy, Binod Chandra +2 more
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On Zweier I-convergent sequence spaces [PDF]
Proyecciones (Antofagasta), 2017 In this article we introduce the Zweier I-convergent sequence spaces . We prove the decomposition theorem and study topo-logical, algebraic properties and have established some inclusion relations of these spaces.
Khan, Vakeel A +2 more
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Vortex Methods. I: Convergence in Three Dimensions [PDF]
Mathematics of Computation, 1982 Recently several different approaches have been developed for the simulation of three-dimensional incompressible fluid flows using vortex methods. Some versions use detailed tracking of vortex filament structures and often local curvatures of these filaments, while other methods require only crude information, such as the vortex blobs of the two ...
Beale, J. Thomas, Majda, Andrew
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Real Analysis Exchange, 2000 In this paper we introduce and study the concept of ${\cal I}$-convergence of sequences in metric spaces, where ${\cal I}$ is an ideal of subsets of the set $\N$ of positive integers. We extend this concept to ${\cal I}$-convergence of sequence of real functions defined on a metric space and prove some basic properties of these concepts.
null Kostyrko +2 more
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New Trends in Mathematical Science, 2016 In this paper, we have introduced the idea of I-convergence of filters and studied its various properties. We have proved the necessary and sufficient condition for a filter to be I-convergent.
JAMWAL, Dalip Singh +2 more
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I-convergent triple fuzzy normed spaces
Proyecciones (Antofagasta), 2022 In this paper we introduce the lacunary ideal convergence of triple sequences in fuzzy normed spaces and the relation between lacunary convergence and lacunary ideal convergence is investigated for triple sequences in fuzzy normed spaces. Concept of limit point and cluster point for triple sequences in fuzzy normed spaces and theorems related to these ...
Jalal, Tanweer, Malik, Ishfaq Ahmad
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