ORCID "0000-0002-0545-7486" Makaleler için listeleme
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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, ... -
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. -
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 ... -
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_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-Convergence and I_2-Cauchy double sequences
Dündar, Erdinç; Altay, Bilal (ScienceDirect, 2014)In this article, we prove a decomposition theorem for I2-convergent double sequences and introduce the notions of I2-Cauchy and I 2 -Cauchy double sequence, and then study their certain properties. Finally, we introduce ... -
I_2-Convergence of double sequence of fuzzy numbers
Dündar, Erdinç; Talo, Özer (2013)In this paper, we introduce and study the concepts of I_2-convergence, I∗_2-convergence for double sequences of fuzzy real numbers, where I_2 denotesthe ideal of subsets of N × N. Also, we study some properties and relations ... -
I_2-convergence of double sequences of functions
Dündar, Erdinç; Altay, Bilal (Electronic Journal of Mathematical Analysis and Applications, 2015)In this work, we discuss various kinds of ideal convergence for double sequences of functions with values in R. We introduce the concepts of I_2, I∗_2-pointwise convergence and the concepts of I_2, I∗_2-pointwise Cauchy ... -
I_2-Convergence of double sequences of functions in 2-normed spaces
Yegül, Sevim; Dündar, Erdinç (2019)In this study, we introduced the concepts of I_2-convergence and I*_2-convergence of double sequences of functions in 2-normed space. Also, were studied some properties about these concepts and investigated relationships ... -
I_2-Lacunary statistical convergence of double sequences of sets
Dündar, Erdinç; Ulusu, Uğur; Aydın, Bünyamin (Konuralp Journal of Mathematics, 2017)In this paper, we introduce the concepts of the Wijsman I_2-statistical convergence, Wijsman I_2-lacunary statistical convergence and Wijsman strongly I_2-lacunary convergence of double sequences of sets and investigate ... -
I_2-Uniform convergence of double sequences of functions
Dündar, Erdinç; Altay, Bilal (2016)In this work, we discuss various kinds of I_2-uniform convergence for double sequences of functions and introduce the concepts of I_2 and I*_2-uniform convergence, I2-uniformly Cauchy sequences for double sequences of ... -
Küme dizilerinin modülüs foksiyonu yardımıyla tanımlanan asimptotik I-Invaryant istatistiksel denkliği
Pancaroğlu Akın, Nimet; Dündar, Erdinç (Afyon Kocatepe Üniversitesi, Fen ve Mühendislik Bilimleri Dergisi, 2018)Bu çalışmada küme dizileri için kuvvetli asimptotik ℐ -invaryant denklik, f-asimptotik ℐ - invaryant denklik, kuvvetli f-asimptotik ℐ -invaryant denklik ve asimptotik ℐ -invaryant istatistiksel denklik tanımları verildi. ... -
Multipliers for bounded convergent double sequences
Dündar, Erdinç; Sever, Yurdal (2014)In this paper, we investigate multipliers for bounded convergence of double sequences and study some properties and relations between l2 ∞, c2(b) and c20(b). -
Multipliers for bounded I_2-convergence of double sequences
Dündar, Erdinç; Altay, Bilal (2012)Multipliers and factorizations for bounded statistically convergent sequences were studied by Connor et al. [J. Connor, K. Demirci, C. Orhan, Multipliers and factorizations for bounded statistically convergent sequences, ... -
Multipliers for bounded statistical convergence of double sequences
Dündar, Erdinç; Sever, Yurdal (2012)Multipliers and factorizations for bounded statistically convergent sequences were studied in μ-density by Connor et al. [J. Connor, K.Demirci, C. Orhan, Multipliers and factorizations for bounded statistically convergent ... -
On convergence of double sequences of functions
Sever, Yurdal; Dündar, Erdinç (2014)In this work, we deal with various kinds of convergence for double sequences of functions with values in R. We introduce the concepts of uniformly convergent and uniformly Cauchy sequences for double sequences of ... -
On I-convergence of sequences of functions in 2-normed spaces
Arslan, Mukaddes; Dündar, Erdinç (Southeast Asian Bulletin of Mathematics, 2018)In this paper, we study concepts of convergence and ideal convergence of sequence of functions and investigate relationships between them and some properties such as linearity in 2-normed spaces. Also, we prove a decomposition ... -
On I_2-Cauchy double sequences in fuzzy normed spaces
Dündar, Erdinç; Türkmen, Muhammed Recai (Communications in Advanced Mathematical Sciences, 2019)In this paper, we investigate relationship between I_2-convergence and I_2-Cauchy double sequences in fuzzy normed spaces. After, we introduce the concepts of I*_2-Cauchy double sequences and study relationships between ... -
On I_2 -convergence and I_2 -convergence of double sequences in fuzzy normed spaces
In this paper first, we investigate some properties of I2-convergence in fuzzy normed spaces. After, we study some relationships between I_2-convergence and I*_2-convergence of double sequences in fuzzy normed spaces.