Yazar "Arslan, Mukaddes" için listeleme
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2-Normlu uzaylarda ideal yakınsaklık üzerine
Arslan, Mukaddes (2015)Bu tez çalışması dört bölümden oluşmaktadır. Birinci bölümde , çalıştığımız tez konusu ile ilgili kavramların tarihsel gelişiminden bahsedildi. İkinci bölümde , çalışmamız için temel teşkil eden tanım , notasyon, örnek ... -
2-Normlu uzaylarda Rough yakınsaklık üzerine
Arslan, Mukaddes (Afyon Kocatepe Üniversitesi, Fen Bilimleri Enstitüsü, 2020)Bu tez ¸calı¸sması altı b¨olu¨mden olu¸smaktadır. Birinci b¨olu¨mde, ¸calı¸smada ele alınan konunun tarihsel geli¸siminden bahsedilmi¸stir. I˙kinci b¨olu¨mde, ¸calı¸smanın daha anla¸sılır olması i¸cin gerekli olan bazı ... -
Dependence on roughness degree in 2-normed spaces
Arslan, Mukaddes; Dündar, Erdinç (2019)Recently, in summability theory, some mathematicians have studied the concepts of convergence on 2-normed space and rough convergence in normed space. The concept of 2-normed spaces was initially introduced by Gähler in ... -
I-convergence and I-Cauchy sequence of functions in 2-normed spaces
Arslan, Mukaddes; Dündar, Erdinç (Konuralp Journal of Mathematics, 2018)In this paper, we study concepts of I-convergence, I*-convergence, I-Cauchy and I*-Cauchy sequences of functions and investigate relationships between them and some properties in 2-normed spaces. -
On I-convergence of sequences of functions in 2 normed spaces
Arslan, Mukaddes; Dündar, Erdinç (2016)In this paper, we study concepts of convergence and ideal convergence of sequence of functions and investigate relationships between them and some properties such as linearity in 2-normed spaces. Also, we prove a decomposition ... -
On I-convergence of sequences of functions in 2-normed spaces
Arslan, Mukaddes; Dündar, Erdinç (Southeast Asian Bulletin of Mathematics, 2018)In this paper, we study concepts of convergence and ideal convergence of sequence of functions and investigate relationships between them and some properties such as linearity in 2-normed spaces. Also, we prove a decomposition ... -
On I-Uniform convergence of sequences of functions In 2-normed spaces
Dündar, Erdinç; Arslan, Mukaddes; Yegül, Sevim (Inter.Conf.on Adv.in Nat.and App.Sci., 2017)In this work, we discuss various kinds of I-uniform convergence for sequences of functions and introduce the concepts of I*-uniform convergence, I and I*-uniformly Cauchy sequences for sequences of functions in 2-normed ... -
On ideal convergence and ideal Cauchy sequences of functions in 2-normed spaces and some properties
Dündar, Erdinç; Arslan, Mukaddes (Inter.Conf.on Adv.in Nat.and App.Sci.(ICANAS2017), 2017)In this paper, we study concepts of I-convergence, I*-convergence, I-Cauchy and I*-Cauchy sequences of functions and investigate relationships between them and some properties in 2-normed spaces. -
On rough convergence in 2-Normed spaces and some properties
Arslan, Mukaddes; Dündar, Erdinç (2019)In this study, we investigated relationships between rough convergence and classical convergence and studied some properties about the notion of rough convergence, the set of rough limit points and rough cluster points of ... -
On some properties of rough convergence in 2-normed spaces
Arslan, Mukaddes; Dündar, Erdinç (2019)The concepts of convergence on 2-normed space and rough convergence in normed spaces are important in summability theory. The concept of 2-normed spaces was initially introduced by Gähler in the 1960's. Since then, this ... -
Rough convergence in 2-normed spaces
Arslan, Mukaddes; Dündar, Erdinç (Bulletin of Mathematical Analysis and Applications, 2018)In this work, we introduced the notions of rough convergence, rough Cauchy sequence and the set of rough limit points of a sequence and obtained rough convergence criteria associated with this set in 2-normed space. Later, ... -
Rough convergence in 2-normed spaces
Arslan, Mukaddes; Dündar, Erdinç (International Conference on Mathematics and Related Sciences(ICMRS2018), 2018)In this work, we introduced the notions of rough convergence, rough Cauchy sequence and the set of rough limit points of a sequence and obtained rough convergence criteria associated with this set in 2-normed space. ...
