Results 11 to 20 of about 867,116 (279)

Rough convergence in 2-normed spaces [PDF]

open access: yes, 2018
Summary: We introduce the notions of rough convergence, rough Cauchy sequence and the set of rough limit points of a sequence and obtain rough convergence criteria associated with this set in 2-normed spaces. Later, we prove that this set is closed and convex.
Arslan, Mukaddes, Dündar, Erdinç
core   +11 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   +6 more sources

On I-statistically rough convergence [PDF]

open access: yesPublications de l'Institut Mathematique, 2019
We introduce rough I-statistical convergence as an extension of rough convergence. We define the set of rough I-statistical limit points of a sequence and analyze the results with proofs.
Savaş, Ekrem   +2 more
openaire   +3 more sources

Rough convergence of double sequences [PDF]

open access: yesGulf Journal of Mathematics, 2014
In this paper, we introduce the notion of rough convergence and the set of rough limit points of a double sequence and obtained two rough convergence criteria associated with this set. Later, we proved that this set is closed and convex. Finally, we examined the relations between the set of cluster points and the set of rough limit points of a double ...
Dündar, Erdinç, Çakan, Celal
core   +4 more sources

ROUGH ?I-STATISTICAL CONVERGENCE [PDF]

open access: yes, 2022
In this study, we examine rough.I-statistical convergence for difference sequences as an extension of rough convergence. We investigate the set of rough Delta I-statistical limit points of a difference sequence and analyze the results with proofs.
Kişi, Ömer   +2 more
core   +4 more sources

On Rough ℐ 2 -Convergence of Double Sequences [PDF]

open access: yesNumerical Functional Analysis and Optimization, 2016
ABSTRACTIn this study, we introduce the notion of rough ℐ2-convergence and the set of rough ℐ2-limit points of a double sequence and obtained two rough ℐ2-convergence criteria associated with this set. Later, we proved that this set is closed and convex.
Dundar, Erdinc, Erdínç Dündar
openaire   +4 more sources

On rough convergence in amenable semigroups and some properties

open access: yesJournal of Intelligent & Fuzzy Systems, 2021
The authors of the present paper, firstly, investigated relations between the notions of rough convergence and classical convergence, and studied on some properties of the rough convergence notion which the set of rough limit points and rough cluster points of a sequence of functions defined on amenable semigroups. Then, they examined the dependence of
Dündar, Erdinç, Ulusu, Uğur
openaire   +6 more sources

On rough convergence of triple sequences [PDF]

open access: yesAIP Conference Proceedings, 2019
In this paper we define and study rough convergence of triple sequences, the set of rough limit points of a triple sequence. Also investigate the relations between the set of cluster points and the set of rough limit points of a triple sequence.
Esi, Ayhan   +2 more
openaire   +3 more sources

On rough convergence variables of triple sequences [PDF]

open access: yesITM Web of Conferences, 2018
Triple sequence convergence has an extremly important position in the basic theory of mathematics. The present manuscript contains four types of convergence concept of convergence almost surely, convergence incredibility, trust convergence in mean and ...
Ozdemir M. Kemal, Esi Ayhan, Esi Ayten
doaj   +2 more sources

Rough statistical convergence in 2-normed spaces

open access: yes, 2021
Summary: In this study, we introduced the notions of rough statistical convergence and defined the set of rough statistical limit points of a sequence and obtained statistical convergence criteria associated with this set in 2-normed space. Then, we proved that this set is closed and convex in 2-normed space. Also, we examined the relations between the
Arslan, Mukaddes, Dundar, Erdinc Comma
openaire   +4 more sources

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