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Density by moduli and Wijsman lacunary statistical convergence of sequences of sets [PDF]

open access: yesJournal of Inequalities and Applications, 2017
The main object of this paper is to introduce and study a new concept of f-Wijsman lacunary statistical convergence of sequences of sets, where f is an unbounded modulus.
Vinod K Bhardwaj, Shweta Dhawan
doaj   +2 more sources

Asymptotically J_σ-Equivalence of Sequences of Sets

open access: yesSakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2019
In thisstudy, we introduce the concepts of Wijsman asymptotically J-invariant equivalence (WLJσ) ,Wijsman asymptotically strongly p-invariant equivalence([WLVσ)]p) and Wijsman asymptotically J*-invariant equivalence(WLJ*σ).
Uğur Ulusu, Esra Gülle
doaj   +7 more sources

New Convergence Definitions for Sequences of Sets [PDF]

open access: yesAbstract and Applied Analysis, 2013
Several notions of convergence for subsets of metric space appear in the literature. In this paper, we define Wijsman  -convergence and Wijsman  -convergence for sequences of sets and establish some basic theorems.
Ömer Kişi, Fatih Nuray
doaj   +6 more sources

GenBank2PubMed: bridging viral genomic data and the scientific literature with AI-assisted curation [PDF]

open access: yesScientific Reports
GenBank entries of pathogenetic viral sequences are typically annotated with host species and epidemiological metadata. However, linking these entries to their corresponding published studies remains labor-intensive.
Kaiming Tao   +3 more
doaj   +2 more sources

ROUGH CONTINUOUS CONVERGENCE OF SEQUENCES OF SETS [PDF]

open access: yesFacta Universitatis, Series: Mathematics and Informatics, 2021
In this paper, we define a new type of convergence of sequences of sets by using the continuous convergence (or α-convergence) of the sequence of distance functions. Then we proved in which case it is equivalent to rough Wijsman convergence by considering the different values of the roughness degrees.
Olmez, Oznur   +2 more
openaire   +4 more sources

Sequences of Sets [PDF]

open access: yesProceedings of the 24th ACM SIGKDD International Conference on Knowledge Discovery & Data Mining, 2018
Sequential behavior such as sending emails, gathering in groups, tagging posts, or authoring academic papers may be characterized by a set of recipients, attendees, tags, or coauthors respectively. Such "sequences of sets" show complex repetition behavior, sometimes repeating prior sets wholesale, and sometimes creating new sets from partial copies or ...
Austin R. Benson   +2 more
openaire   +1 more source

ON THE STATISTICAL CONVERGENCE OF NESTED SEQUENCES OF SETS

open access: yesПроблемы анализа, 2022
In this paper, we show that Wijsman convergence and statistical Wijsman convergence are equivalent to each other if we choose the sequences of sets as monotone.
H. Albayrak   +3 more
doaj   +1 more source

New Constructions of Extended Sonar Sequences From Sidon Sets

open access: yesIEEE Access, 2022
A $(m,n)$ sonar sequence is an $m\times n$ array with exactly one dot in each column and where all lines connecting two dots in the array are distinct as vectors.
Luis Miguel Delgado Ordonez   +2 more
doaj   +1 more source

Asymptotically I-Cesaro equivalence of sequences of sets

open access: yesUniversal Journal of Mathematics and Applications, 2018
In this paper, we defined concepts of asymptotically $\mathcal{I}$-Cesaro equivalence and investigate the relationships between the concepts of asymptotically strongly $\mathcal{I}$-Cesaro equivalence, asymptotically strongly $\mathcal{I}$-lacunary ...
Erdinç Dundar, Uğur Ulusu
doaj   +1 more source

Wijsman and Wijsman regularly triple ideal convergence sequences of sets

open access: yesScientific African, 2022
This paper introduces the notions of IW3-convergence, IW3*-convergence, IW3-Cauchy, IW3*-Cauchy, regularly (IW3,IW)-convergence and regularly (IW3*,IW*)-convergence and investigates the relationship among them.
Carlos Granados, Bright O. Osu
doaj   +1 more source

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