ORCID "0000-0001-7658-6114" Fen-Edebiyat Fakültesi için listeleme
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I-lacunary statistical convergence of sequences of sets
Ulusu, Uğur; Dündar, Erdinç (Faculty of Sciences and Mathematics, University of Nis, 2014)In this paper we study the concepts of Wijsman I-statistical convergence, Wijsman I-lacunary statistical convergence and Wijsman strongly I-lacunary convergence of sequences of sets and investigate the relationship between them -
I_2-Cesàro summability of double sequences of sets
Ulusu, Uğur; Dündar, Erdinç; Gülle, Esra (Palestine Journal of Mathematics, 2020)In this paper, we defined concept of Wijsman I_2-Cesàro summability and investigate the relationships between the concepts of Wijsman strongly I_2-Cesàro summability, Wijsman strongly I_2-lacunary convergence, Wijsman ... -
I_σ-convergence
Nuray, Fatih; Gök, Hafize; Ulusu, Uğur (Department of Mathematics, University of Osijek, 2011)In this paper, the concepts of σ-uniform density of subsets A of the set N of positive integers and corresponding I_σ-convergence were introduced. Furthermore, inclusion relations between I_σ-convergence and invariant ... -
Küme dizilerinin istatistiksel lacunary toplanabilirliği
Ulusu, Uğur; Nuray, Fatih (Afyon Kocatepe Üniversitesi, 2013)Bu çalışmada, küme dizileri için Wijsman istatistiksel lacunary toplanabilme kavramı tanımlandı ve bu kavramın daha önceden Ulusu ve Nuray (2012) tarafından verilen küme dizilerinin Wijsman lacunary istatistiksel yakınsaklık ... -
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_2-invariant convergence and some properties
Ulusu, Uğur; Dündar, Erdinç; Nuray, Fatih (2018)In this paper, the concept of lacunary invariant uniform density of any subset A of the set N×N is defined. Associate with this, the concept of lacunary I_2-invariant convergence for double sequences is given. Also, we ... -
Lacunary I_σ-asimptotik denklik
Ulusu, Uğur (Afyon Kocatepe Üniversitesi, 2017)Bu çalışmada, reel sayı dizileri için lacunary I_σ-asimptotik denklik, lacunary σ-asimptotik denklik ve p-kuvvetli lacunary σ-asimptotik denklik kavramları tanımlandı. Ayrıca, bu yeni denklik kavramları arasındaki ilişkiler ... -
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 ... -
Lacunary statistical convergence of sequences of sets
Ulusu, Uğur; Nuray, Fatih (Canadian Research & Development Center of Sciences and Cultures, 2012)Several notions of convergence for subsets of metric space appear in the literature. In this paper we define lacunary statistical convergence for sequences of sets and study in detail the relationship between other convergence ... -
Lacunary statistical summability of sequences of sets
Ulusu, Uğur; Nuray, Fatih (Konuralp Journal of Mathematics, 2015)In this paper we define the WS_θ-analog of the Cauchy criterion for convergence and show that it is equivalent to Wijsman lacunary statistical convergence. Also, Wijsman lacunary statistical convergence is compared to other ... -
On almost asymptotically lacunary statistical equivalence of sequences of sets
Ulusu, Uğur (Fractional Calculus and Application Group, 2014)In this paper we study the concepts of Wijsman almost asymptotically statistical equivalent, Wijsman almost asymptotically lacunary statistical equivalent and Wijsman strongly almost asymptotically lacunary equivalent sequences ... -
On asymptotically lacunary statistical equivalent set sequences
Ulusu, Uğur; Nuray, Fatih (Hindawi Publishing Corporation, 2013)This paper presents three definitions which are natural combination of the definitions of asymptotic equivalence, statistical convergence, lacunary statistical convergence, and Wijsman convergence. In addition, we also ... -
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 ... -
On strongly lacunary summability of sequences of sets
Ulusu, Uğur; Nuray, Fatih (Journal of Applied Mathematics & Bioinformatics, 2013)In this paper, we introduce the concept of Wijsman strongly lacunary summability for set sequences. Then, we discus its relation with Wijsman strongly Ces`aro summability. Furthermore, we also give its relation with Wijsman ... -
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 generalized convergence types using ideals in amenable semigroups
Ulusu, Uğur; Dündar, Erdinç; Nuray, Fatih (Bulletin of Mathematical Analysis and Applications, 2019)The aim of this study is to introduce the concepts of I-statistically convergence, I-statistically pre-Cauchy sequence and I-strongly p-summability for functions defined on discrete countable amenable semigroups and to ... -
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.