Browsing Makaleler by Author "Dündar, Erdinç"
Now showing items 21-40 of 54
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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. ... -
Lacunary I_2-invariant convergence and some properties
Ulusu, Uğur; Dündar, Erdinç; Nuray, Fatih (2018)In this paper, the concept of lacunary invariant uniform density of any subset A of the set N×N is defined. Associate with this, the concept of lacunary I_2-invariant convergence for double sequences is given. Also, we ... -
Lacunary statistical convergence of double sequences of sets
Nuray, Fatih; Ulusu, Uğur; Dündar, Erdinç (2016)In this paper, we study the concepts of Wijsman statistical convergence, Wijsman lacunary statistical convergence, Wijsman lacunary convergence and Wijsman strongly lacunary convergence double sequences of sets and investigate ... -
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. -
On ideal invariant convergence of double sequences and some properties
Dündar, Erdinç; Ulusu, Uğur; Nuray, Fatih (Creative Mathematics and Informatics, 2018)In this paper, we study the concepts of invariant convergence, p-strongly invariant convergence ([V_2σ ]p), I2-invariant convergence (I^σ_2), I∗_2-invariant convergence (I^σ∗_2) of double sequences and investigate the ... -
On lacunary statistical convergence of double sequences and some properties in fuzzy normed spaces
Türkmen, Muhammed Recai; Dündar, Erdinç (Journal of Intelligent Fuzzy Systems, 2019)In this study, we have investigated the concepts of lacunary summable, lacunary statistical convergence and lacunary statistically Cauchy sequence for double sequences in fuzzy normed spaces. Also, we have investigated ... -
On rough convergence in 2-Normed spaces and some properties
Arslan, Mukaddes; Dündar, Erdinç (2019)In this study, we investigated relationships between rough convergence and classical convergence and studied some properties about the notion of rough convergence, the set of rough limit points and rough cluster points of ... -
On rough I_2-convergence of double sequences
Dündar, Erdinç (Numerical Functional Analysis and Optimization, 2016)In this study, we introduce the notion of rough ℐ_2-convergence and the set of rough ℐ_2-limit points of a double sequence and obtained two rough ℐ_2-convergence criteria associated with this set. Later, we proved that ... -
On some properties of I_2-Convergence and I_2-Cauchy of double sequences
Dündar, Erdinç; Altay, Bilal (2011)In this paper we study the concepts of I-Cauchy and I∗-Cauchy for double sequences in a linear metric space. Also, we give the relation between I-convergence and I*-convergence of double sequences of functions defined ... -
On some results of I2 convergence of double sequences of functions
Dündar, Erdinç (Mathematical Sciences and Applications E-Notes (MSAEN), 2015)In this work, we investigate some results of I2-convergence of double sequences of real valued functions and prove a decomposition theorem. -
On Statistical Convergence of Sequences of Functions In 2 Normed Spaces
Yegül, Sevim; Dündar, Erdinç (Journal of Classical Analysis, 2017)Statistical convergence and statistical Cauchy sequence in 2 -normed space were studied by Gürdal and Pehlivan [M. Gürdal, S. Pehlivan, Statistical convergence in 2-normed spaces, Southeast Asian Bulletin of Mathematics, ... -
On Strongly I and I-Lacunary convergence of sequences of sets
Sever, Yurdal; Ulusu, Uğur; Dündar, Erdinç (2014)In this paper we study the concepts of Wijsman strongly lacunary convergence, Wijsman strongly I-lacunary convergence, Wijsman strongly I*-lacunary convergence and Wijsman strongly I-lacunary Cauchy sequences of sets and ... -
On strongly I-Lacunary Cauchy sequences of sets
Dündar, Erdinç; Sever, Yurdal (2014)In this study, we examinate the ideas of Wijsman strongly lacunary Cauchy, Wijsman strongly I-lacunary Cauchy and Wijsman strongly I∗-lacunary Cauchy sequences of sets and investigate the relationship between them. -
On the fine spectrum of the upper triangle double band matrix Δ+ on the sequence space c0
Dündar, Erdinç; Başar, Feyzi (2013)In this study, we determine the fine spectrum of the matrix operator ∆+ defined by an upper triangle double band matrix acting on the sequence space c_0 with respect to the Goldberg’s classification. As a new development, ...