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International Journal of Mathematics and Mathematical Sciences, 1999 In 1900, Pringsheim gave a definition of the convergence of double sequences. In this paper, that notion is extended by presenting definitions for the limit inferior and limit superior of double sequences.
Richard F. Patterson
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Tauberian theorems for weighted means of double sequences in intuitionistic fuzzy normed spaces [PDF]
Yugoslav Journal of Operations Research, 2022 We define weighted mean summability method of double sequences in intuitionistic fuzzy normed spaces(IFNS), and obtain necessary and sufficient Tauberian conditions under which convergence of double sequences in IFNS follows from their weighted mean ...
Narayan Mishra Lakshmi +3 more
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Sentence Semantic Similarity Model Using Convolutional Neural Networks [PDF]
EAI Endorsed Transactions on Energy Web, 2021 In Natural Language Processing, determining the semantic likeness between sentences is an important research area. For example, there exists many possible semantics for a word (polysemy), and the synonym of the word differs. Double LSTM (Long
Karthiga M +3 more
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Universal Journal of Mathematics and Applications, 2023 In the study conducted here, we have given some new concepts in summability theory. In this sense, firstly, using the lacunary sequence we have given the concept of strongly $\mathcal{I}_{\theta_2}^{\ast}$-convergence and we have examined the relations ...
Esra Gülle +2 more
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Double Sequences and Selections [PDF]
Abstract and Applied Analysis, 2012 We present some results about selection properties in the class of double sequences of real numbers.
Djurčić, Dragan +2 more
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A Link between Approximation Theory and Summability Methods via Four-Dimensional Infinite Matrices
Mathematics, 2021 In this study, we present a link between approximation theory and summability methods by constructing bivariate Bernstein-Kantorovich type operators on an extended domain with reparametrized knots.
Hari M. Srivastava +3 more
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On Lacunary $\mathcal{I}_2^{\ast }$-Convergence and Lacunary $\mathcal{I}_2^{\ast }$-Cauchy Sequence
Communications in Advanced Mathematical Sciences, 2023 In the study conducted here, we have given some new concepts in summability. In this sense, firstly, we have given the concept of lacunary $\mathcal{I}_2^{\ast}$-convergence and we have investigated the relations between lacunary $\mathcal{I}_2 ...
Nimet Pancaroğlu Akın, Erdinç Dündar
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Cumhuriyet Science Journal, 2021 In the present paper, we introduce a new kind of convergence, called the statistical relative uniform convergence, for a double sequence of functions at a point, where the relative uniform convergence of the set of the neighborhoods of the given point is
Sevda Yıldız
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Sequence spaces M ( ϕ ) $M(\phi)$ and N ( ϕ ) $N(\phi)$ with application in clustering
Journal of Inequalities and Applications, 2017 Distance measures play a central role in evolving the clustering technique. Due to the rich mathematical background and natural implementation of l p $l_{p}$ distance measures, researchers were motivated to use them in almost every clustering process ...
Mohd Shoaib Khan +3 more
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Formalized Mathematics, 2013 Summary Double sequences are important extension of the ordinary notion of a sequence. In this article we formalized three types of limits of double sequences and the theory of these limits.
Noboru Endou +2 more
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