Yazar "Dündar, Erdinç" 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, ... -
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 ... -
Asymptotically lacunary statistical equivalence of double sequences of sets
The concepts of Wijsman asymptotically equivalence, Wijsman asymptotically statistically equivalence, Wijsman asymptotically lacunary equivalence and Wijsman asymptotically lacunary statistical equivalence for sequences ... -
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. -
Çift indisli dizilerde asimptotik ideal invaryant denklik tipleri
Yenisarı, Hasan (2021)Bu tez ¸calı¸sması altı b¨olu¨mden olu¸smaktadır. Birinci b¨olu¨mde, tez ¸calı¸smasında ele alınan konunun tarihi geli¸simi anlatılmı¸stır. I˙kinci b¨olu¨mde, tez ¸calı¸smasında yararlanılacak olan bazı temel ... -
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 ... -equivalence of Double sequences of sets
Dündar, Erdinç; Akın, Nimet P. (Afyon Kocatepe Üniversitesi, 28.05.2019)... -
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-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-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 ... -
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_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 ...