Yazar "Dündar, Erdinç" için Bildiri Metinleri listeleme
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2-Normlu uzaylarda çift fonksiyon dizilerinin I_2-yakınsaklığı ve bazı özellikleri
Yegül, Sevim; Dündar, Erdinç (2019)Çalışmamız boyunca, N tüm doğal sayılar kümesinin ve R tüm gerçek sayıların kümesini belirtecektir. Reel sayı dizilerinin bir genelleştirmesi olan istatistiksel yakınsaklık Fast (1951) tarafından tanımlandı. Daha sonra ... -
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 ... -
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 I-invariant equivalence of sequences defined by a modulus function
Pancaroğlu Akın, Nimet; Dündar, Erdinç (2018)In this paper, we introduce the concepts of strongly asymptotically ideal invariant equivalence, f-asymptotically ideal invariant equivalence, strongly f-asymptotically ideal invariant equivalence and asymptotically ideal ... -
Asymptotically I-Invariant statistical equivalence of sequences of set defined by a modulus function
In this paper, we introduce the concepts of strongly asymptotically I-invariant equivalence, f-asymptotically I-invariant equivalence, strongly f-asymptotically I-invariant equivalence and asymptotically I-invariant ... -
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-invariant equivalence of double sequences and some properties
Dündar, Erdinç; Ulusu, Uğur; Nuray, Fatih (2018)In this paper, we give definitions of asymptotically ideal equivalent, asymptotically invariant equivalent and strongly asymptotically invariant equivalent for double sequences. Also, we give some properties and examine ... -
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 lacunary ... equivalence for double set sequences defined by modulus functions
Dündar, Erdinç; Pancaroğlu Akın, Nimet (2019)Fast (1951) and Schoenberg (1959), independently, introduced concept of statistical convergence and many authors studied some properties of this concepts. Mursaleen and Edely (2003) extended this concept to the double ... -
Asymptotically lacunary I-invariant equivalence of sequences defined by A modulus function
In this paper, we introduce the concepts of strongly asymptotically lacunary ideal in- variant equivalence, f-asymptotically lacunary ideal invariant equivalence, strongly f-asymptotically lacunary ideal invariant ... -
Asymptotically lacunary I-invariant statistical equivalence of sequences of sets defined by a modulus function
In this paper, we introduce the concepts of strongly asymptotically lacunary I-invariant equivalence, f-asymptotically lacunary I-invariant equivalence, strongly f-asymptotically lacunary I-invariant equivalence and ... -
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 ... -
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 ... -
Fuzzy n-normlu uzaylarda çift dizilerin lacunary ideal yakınsaklığı
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 ... -
I-limit superior and I-limit inferior for sequences of fuzzy numbers
Talo, Özer; Dündar, Erdinç (2014)The statistical limit inferior and limit superior for sequences of fuzzy numbers have been introduced by Aytar, Pehlivan and Mammadov (Fuzzy Sets and Systems, 157(7) (2006) 976{985). In this paper we extend concepts of ... -
I_2-Cesàro summability of double sequences of sets
Dündar, Erdinç; Ulusu, Uğur; Gülle, Esra (2015)In this paper, we de ned concept of Wijsman I2-Cesàro summability and investigate the relationship between the concepts of Wijsman strongly I2-Cesàro summability, Wijsman strongly I2-lacunary convergence, Wijsman p-strongly ... -
I_2-Lacunary statistical convergence of double sequences of sets
Dündar, Erdinç; Ulusu, Uğur; Aydın, Bünyamin (International Conference on Recent Advances in Pure and Applied Mathematics (ICRAPAM 2015), 2015)In this paper, we introduce the concepts of the Wijsman I2-statistical convergence, Wijsman I2-lacunary statistical convergence and Wijsman strongly I2-lacunary convergence of double sequences of sets and investigate ... -
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 statistical convergence of double sequences in fuzzy n-nspacesormed
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 ...