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Sequential Generalized Transforms on Function Space [PDF]
Abstract and Applied Analysis, 2013 We define two sequential transforms on a function space Ca,b[0,T] induced by generalized Brownian motion process. We then establish the existence of the sequential transforms for functionals in a Banach algebra of functionals on Ca,b[0,T].
Jae Gil Choi +2 more
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Energies, 2018 As the number and capacity of photovoltaic (PV) power stations increase, it is of great significance to evaluate the PV-connected power systems in an effective, reasonable, and quick way.
Wenxia Liu +5 more
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\(\mathcal{I}^{\mathcal{K}}\)-SEQUENTIAL TOPOLOGY
Ural Mathematical Journal, 2023 In the literature, \(\mathcal{I}\)-convergence (or convergence in \(\mathcal{I}\)) was first introduced in [11]. Later related notions of \(\mathcal{I}\)-sequential topological space and \(\mathcal{I}^*\)-sequential topological space were introduced and ...
H. S. Behmanush, M. Küçükaslan
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Further aspects of I K-convergence in topological spaces
Applied General Topology, 2021 In this paper, we obtain some results on the relationships between different ideal convergence modes namely, I K, I K∗ , I, K, I ∪ K and (I ∪K) ∗ . We introduce a topological space namely I K-sequential space and show that the class of I K-sequential ...
Ankur Sharmah, Debajit Hazarika
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Strong Fréchet properties of spaces constructed from squares and AD families
Applied General Topology, 2023 We answer questions of Arhangel'skiĭ using spaces defined from combinatorial objects. We first establish further convergence properties of a space constructed from □ ( κ ) showing it is Fréchet-Urysohn for finite sets and a w-space that is not a W-space.
William Chen-Mertens +2 more
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COUNTABLE COMPACTNESS MODULO AN IDEAL OF NATURAL NUMBERS
Ural Mathematical Journal, 2023 In this article, we introduce the idea of \(I\)-compactness as a covering property through ideals of \(\mathbb N\) and regardless of the \(I\)-convergent sequences of points.
Prasenjit Bal +2 more
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G-sequential methods in product spaces
AIP Conference Proceedings, 2022 © 2022 American Institute of Physics Inc.. All rights reserved.It is known that for a Hausdorff topological space X the limits of convergent sequences in X determines a function from the set of all convergent sequences in X to X. This notion has been extended in [14] by Connor and Grosse-Erdmann to a real valued function defined on a liner subspace of ...
Behram, Shanza, Mucuk, Osman
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Mining Negative Sequential Patterns with Periodic Gap Constraints [PDF]
Jisuanji kexue, 2023 Sequential pattern mining with gap constraints is a special form of sequential pattern mining,which can reveal frequent subsequences in a certain gap.However,the current sequential pattern mining methods with gap constraints only focus on positive ...
WANG Zhulin, WU Youxi, WANG Yuehua, LIU Jingyu
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Sequential Completeness for ⊤-Quasi-Uniform Spaces and a Fixed Point Theorem
Mathematics, 2022 We define sequential completeness for ⊤-quasi-uniform spaces using Cauchy pair ⊤-sequences. We show that completeness implies sequential completeness and that for ⊤-uniform spaces with countable ⊤-uniform bases, completeness and sequential completeness ...
Gunther Jäger
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Sequential continuity in dyadic spaces [PDF]
Proceedings of the American Mathematical Society, 1977 A characterization of metrizability in dyadic spaces in terms of sequential continuity is given. Also, it is shown by examples that invariance under projections (composition) cannot be eliminated from the hypotheses of theorems of Mazur and Engelking concerning the continuity of sequentially continuous functions.
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