ORCID "0000-0001-7658-6114" Bildiri Metinleri için listeleme
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Asymptotically I-Cesàro equivalence of sequences of sets
Ulusu, Uğur (2015)In this study, we defined concept of asymptotically I-Cesàro equivalence and investigate the relationship between the concepts of asymptotically strongly I-Cesàro equivalence, asymptotically strongly I-lacunary equivalence, ... -
Asymptotically I_2-Cesàro equivalence of double sequences of sets
Ulusu, Uğur; Dündar, Erdinç; Aydın, Bünyamin (International Conference on Analysis and Its Applications, 2016)In this paper, we defined the concepts of asymptotically I_2-Cesàro equivalence and investigate the relationships between the concepts of asymptotically strongly I_2-Cesàro equivalence, asymptotically strongly I_2-lacunary ... -
Asymptotically I_2-lacunary statistical equivalence of double sequences of sets
Ulusu, Uğur; Dündar, Erdinç (2015)In this paper, we introduce the concepts of Wijsman I_2-asymptotically statistical equivalence, Wijsman strongly I_2-asymptotically lacunary equivalence and Wijsman I_2-asymtotically lacunary statistical equivalence of ... -
Asymptotically ideal invariant equivalence
Ulusu, Uğur (2017)In this study, the concepts of asymptotically I_σ-equivalence, σ-asymptotically equivalence, strongly σ-asymptotically equivalence and strongly σ-asymptotically p-equivalence for real number sequences are defined. Also, ... -
Asymptotically lacunary ... statistical equivalence for double set sequences defined by modulus functions
Pancaroğlu Akın, Nimet; Ulusu, Uğur (lnternational Congress on Science and Education, 2019)Son zamanlarda reel sayıların istatistiksel yakınsaklık kavramı ideal yakınsaklık kavramına genişletilerek birçok matematikçi tarafından çalışılmıştır. Fast (1951) ve Schoenberg (1959) istatistiksel yakınsaklık kavramını ... -
Asymptotically lacunary I_2-invariant equivalence
Ulusu, Uğur; Dündar, Erdinç; Nuray, Fatih (International Conference on Mathematical and Related Sciences, 2018)In this study, the concept of asymptotically lacunary I_2-invariant equivalence, the concepts of asymptotically lacunary σ_2-equivalence and the concept of asymptotically lacunary invariant S_2-equivalence for double ... -
Asymptotically lacunary I_σ-equivalence of sequences of sets
Gülle, Esra; Ulusu, Uğur (2018)In this study, we introduce the concepts of Wijsman p-strongly asymptotically lacunary invariant equivalence ([W_{N_{θσ}}^L ]_p), Wijsman asymptotically lacunary I-invariant equivalence (W_{I_{σθ}}^L) and Wijsman asymptotically ... -
An extension of asymptotically lacunary statistical equivalence set sequences
Ulusu, Uğur; Savaş, Ekrem (2013)This paper presents, for sequences of sets, the notions of asymptotically lacunary statistical equivalent (Wijsman sense) of multiple L, strongly asymptotically lacunary p-equivalent (Wijsman sense) of multiple L and ... -
A generalization of I-asymptotically lacunary statistical equivalence of sequences of sets
Ulusu, Uğur; Nuray, Fatih; Savaş, Ekrem (2014)This paper presents, for sequences of sets, a generalization of the concept of I-asymptotically lacunary statistical equivalence by using the sequence p=(p_k) which is the sequence of positive real numbers where I is an ... -
I-Cesàro summability of sequences of sets
Ulusu, Uğur; Kişi, Ömer (International Conference on Pure and Applied Mathematics, 2015)In this paper, we defined concept of Wijsman I-Cesàro summability for sequences of sets and investigate the relationship between the concepts of Wijsman strongly I-Cesàro summability, Wijsman strongly I-lacunary summability, ... -
Lacunary I_2-invariant convergence and some properties
Ulusu, Uğur; Dündar, Erdinç; Nuray, Fatih (International Conference on Advances in Natural and Applied Sciences, 2017)In this study, the definitions for some invariant convergence for double real numbers sequences are given by using double lacunary sequence concept and the relationships among these new types of convergence are examined -
Lacunary I_σ-convergence
Ulusu, Uğur; Nuray, Fatih (2016)In this study, the concept of lacunary invariant uniform density of any subset A of the set N of positive integers is defined. Associate with this, the concept of lacunary I-invariant convergence for real number sequences ... -
On quasi-lacunary invariant convergence of sequences of sets
Gülle, Esra; Ulusu, Uğur (International Conference on Analysis and Its Applications, 2018)In this study, we give definitions of Wijsman quasi-lacunary invariant convergence, Wijsman strongly quasi-lacunary invariant convergence and Wijsman quasi-lacunary invariant statistically convergence for sequences of sets. ... -
On some asymptotically equivalence types for double sequences and relations among them
Ulusu, Uğur; Dündar, Erdinç (2018)In this study, we give definitions of asymptotically lacunary invariant equivalence, strongly asymptotically lacunary invariant equivalence and asymptotically lacunary ideal invariant equivalence for double sequences. We ... -
On strongly I and I^*-lacunary convergence of sequences of sets
Sever, Yurdal; Ulusu, Uğur; Dündar, Erdinç (2013)In this paper we study the concepts of Wijsman strongly lacunary convergence, Wijsman strongly I-lacunary convergence, Wijsman strongly I^*-lacunary convergence and Wijsman strongly I-lacunary Cauchy sequences of sets and ... -
Some asymptotically equivalence types for sequences of sets
Ulusu, Uğur; Dündar, Erdinç (International Conference on Advances in Natural and Applied Sciences, 2017)In this study, the concepts of asymptotically ideal Cesàro equivalence are defined and the relationships among the concepts of asymptotically strongly ideal Cesàro equivalence, asymptotically strongly ideal lacunary ... -
Some properties of 2-dimensional interval numbers
Nuray, Fatih; Dündar, Erdinç; Ulusu, Uğur (International Conference on Mathematical and Related Sciences, 2018)In this paper, we will introduce the notion of convergence of two dimensional interval sequences and show that the set of all two dimensional interval numbers is a metric space. Also, some ordinary vector norms will be ... -
Some uniform continuity definitions for real valued functions and some properties
Nuray, Fatih; Ulusu, Uğur; Dündar, Erdinç (International Conference on Advances in Natural and Applied Sciences, 2017)The purpose of this study is to give some uniform continuity definitions for real valued functions and investigate some properties about these concepts. -
Statistical lacunary invariant summability of double sequences
Ulusu, Uğur; Gülle, Esra (2018)In this study, we give definitions of lacunary σ-summability, strongly p-lacunary σ-summability and statistical lacunary σ-convergence for double sequences. We also examine the existence of some relations among the definitions ... -
Wijsman and Hausdorff statistical convergence of order α for double set sequences
Ulusu, Uğur; Gülle, Esra (3rd International Congress on Science and Education, 2019)The concept of statistical convergence was introduced by Steinhaus (1951) and Fast (1951), and later reintroduced by Schoenberg (1959) independently. Then, many researchers have studied on this concept until recently (see ...