• 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 ...

• Wijsman ptrongly p-Cesàro summability and Wijsman statistical convergence of order α for double set sequences 

  Gülle, Esra; Ulusu, Uğur (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 ...

• Wijsman quasi-invariant convergence 

  Gülle, Esra; Ulusu, Uğur (International Conference on Mathematical and Related Sciences, 2018)

  In this study, we defined the concepts of Wijsman quasi-invariant convergence, Wijsman quasi-strongly invariant convergence and Wijsman quasi q-strongly invariant convergence. Also, we give the concept of Wijsman quasi-invariant ...

• 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. ...

• 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 ...

• 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 ...

• 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.

• 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 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 ...

• 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 ...

• Wijsman statistical convergence of double sequences of sets 

  Nuray, Fatih; Ulusu, Uğur; Dündar, Erdinç (International Conference on Analysis and Its Applications, 2016)

  In this paper, we study the concepts of Wijsman statistical convergence, Hausdorff statistical convergence and Wijsman statistical Cauchy double sequences of sets and investigate the relationships between them.

• 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, ...

• 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 ...

• Asymptotically I-statistical equivalent functions defined on amenable semigroups 

  Ulusu, Uğur; Dündar, Erdinç; Aydın, Bünyamin (Sigma Journal of Engineering and Natural Sciences, 2019)

  In this study, we introduce the notions of asymptotically I-equivalence, asymptotically I*-equivalence, asymptotically strongly I-equivalence and asymptotically I-statistical equivalence for functions defined on discrete ...

• 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 ...

• Asymptotically ... equivalence of double sequences of sets defined by modulus functions 

  Dündar, Erdinç; Pancaroğlu Akın, Nimet (2019)

  Fast (1951) and Schoenberg (1959), independently, introduced the concept of statistical convergence and many authors studied this concept. Mursaleen and Edely (2003) extended this concept to the double sequences. The idea ...

• Asymptotically ... statistical equivalence of double sequences of sets defined by modulus functions 

  Dündar, Erdinç; Pancaroğlu Akın, Nimet (III. International Congress on Science and Education, 2019)

  Statistical convergence and ideal convergence of real numbers, which are of great importance in the theory of summability, are studied by many mathematicians. Fast (1951) and Schoenberg (1959), independently, introduced ...

• Asymptotically ... equivalence of double sequences defined by modulus functions 

  Dündar, Erdinç; Pancaroğlu Akın, Nimet (2019)

  Throughout the paper N denotes the set of all positive integers and R the set of all real numbers. The concept of convergence of a sequence of real numbers has been extended to statistical convergence independently by Fast ...

• Lacunary statistical convergence of double sequences in fuzzy n-nspacesormed 

  Türkmen, Muhammed Recai; Dündar, Erdinç; Ulusu, Uğur (2018)

  The concept of convergence of real sequences has been extended to statistical convergence and later this concept was extended to the double sequences by Mursaleen and Edely. The concept of ordinary convergence of a sequence ...

• Fuzzy n-normlu uzaylarda çift dizilerin lacunary ideal yakınsaklığı 

  Türkmen, Muhammed Recai; Dündar, Erdinç; Ulusu, Uğur (2018)

  The concept of statistical convergence has emerged with the expansion of convergence concept of real number sequences. Studies on statistical convergent sequences have shown that many classical convergences in metric ...

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