ORCID "0000-0002-0545-7486" Fen-Edebiyat Fakültesi için 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-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 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
We investigate the notions of strongly asymptotically I-equivalence, f-asymptotically I-equivalence, strongly f-asymptotically I-equivalence and asymptotically I-statistical equivalence for sequences of sets. Also, ... -
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 ... -
Cesaro summability of double sequences of sets
Nuray, Fatih; Ulusu, Uğur; Dündar, Erdinç (ICSRS Publication, 2014)In this paper, we study the concepts of Wijsman Ces`aro summability and Wijsman lacunary convergence of double sequences of sets and investigate the relationship between them. -
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 ... -
f-Asymptotically J2 σ -equivalence of double sequences of sets
Dündar, Erdinç; Pancaroğlu Akın, Nimet (2019)In this study, first, we present the concepts of strongly asymptotically ℐ2 σ -equivalence, f-asymptotically ℐ2 σ -equivalence, strongly f-asymptotically ℐ2 σ -equivalence for double sequences of sets. Then, we investigated ... -
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-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. -
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-Cauchy double sequences in 2 normed spaces
Dündar, Erdinç; Sever, Yurdal (2015)The concept I-Cauchy and I∗-Cauchy sequences were studied by Gürdal and Acik in on I-Cauchy sequences in 2-normed spaces, Math. Inequal. Appl. 11 (2) (2008), 349--354. In this paper, we introduce the notions of I2-Cauchy ... -
I_2-Cauchy double sequences of fuzzy numbers
Dündar, Erdinç; Talo, Özer (2013)In this paper, we introduce the concepts of I2-Cauchy, I∗2-Cauchy double sequence of fuzzy numbers and study their some properties and relations, where I2 denotes the ideal of subsets of N × N. -
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 ...