Yazar "Dündar, Erdinç" için Bildiri Metinleri listeleme
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Lacunary statistical convergence of double sequences in fuzzy normed spaces
In this paper, we introduce the concepts of lacunary summable, lacunary statistically convergence and lacunary statistically Cauchy sequence for double sequences in fuzzy normed spaces. Also, we investigate some properties ... -
Multipliers for bounded convergent of double sequences
Dündar, Erdinç; Sever, Yurdal (2013)In this paper we investigate multipliers for bounded convergence of double sequences and study some properties and relations between ℓ^2, c2(b) and c20(b). -
On asymptotically ideal invariant equivalence of double sequences
Dündar, Erdinç; Ulusu, Uğur; Nuray, Fatih (International Conference on Mathematics and Related Sciences(ICMRS2018), 2018)In this study, the concepts of asymptotically I^sigma_2 -equivalent, asymptotically invariant equivalent, strongly asymptotically invariant equivalent and p-strongly asymptotically invariant equivalent for double sequences ... -
On I-convergence of sequences of functions in 2 normed spaces
Arslan, Mukaddes; Dündar, Erdinç (2016)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-Uniform convergence of sequences of functions In 2-normed spaces
Dündar, Erdinç; Arslan, Mukaddes; Yegül, Sevim (Inter.Conf.on Adv.in Nat.and App.Sci., 2017)In this work, we discuss various kinds of I-uniform convergence for sequences of functions and introduce the concepts of I*-uniform convergence, I and I*-uniformly Cauchy sequences for sequences of functions in 2-normed ... -
On ideal convergence and ideal Cauchy sequences of functions in 2-normed spaces and some properties
Dündar, Erdinç; Arslan, Mukaddes (Inter.Conf.on Adv.in Nat.and App.Sci.(ICANAS2017), 2017)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. -
On ideal invariant convergence of double sequences and some properties
Dündar, Erdinç; Ulusu, Uğur; Nuray, Fatih (Inter.Conf.on Adv.in Nat.and App.Sci.(ICANAS2017), 2017)In this paper, we study the concepts of invariant convergence, p-strongly invariant convergence ([V^2_sigma ]_p), I2-invariant convergence (I_sigma^2), I*_2 -invariant convergence (I_2*^sigma) of double sequences and ... -
On rough I_2-convergence of double sequences
Dündar, Erdinç (2015)In this study, we introduce the notion of rough I2-convergence and the set of rough I2-limit points of a double sequence and obtained two rough I2-convergence criteria associated with this set. Later, we proved that this ... -
On some asymptotically equivalence types for double sequences and relations among them
Ulusu, Uğur; Dündar, Erdinç (2018)In this study, we give definitions of asymptotically lacunary invariant equivalence, strongly asymptotically lacunary invariant equivalence and asymptotically lacunary ideal invariant equivalence for double sequences. We ... -
On some properties of rough convergence in 2-normed spaces
Arslan, Mukaddes; Dündar, Erdinç (2019)The concepts of convergence on 2-normed space and rough convergence in normed spaces are important in summability theory. The concept of 2-normed spaces was initially introduced by Gähler in the 1960's. Since then, this ... -
On some results of I_2-convergence of double sequences of functions
Dündar, Erdinç (Karatekin Mathematics Days 2014, 2014)In this work, we investigate some results of I_2-convergence of double sequences of functions with values in R and prove a decomposition theorem. -
On statistical convergence of sequences of functions in 2 normed spaces
Yegül, Sevim; Dündar, Erdinç (2016)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 (2013)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 ... -
Regularly ideal convergence and regularly ideal cauchy double sequences in 2-normed spaces
Sever, Yurdal; Dündar, Erdinç (Algerian-Turkish International Days on Mathematics 2013, 2013)In this paper, we introduce the notions of (I_2; I), (I*_2 ; I*)-convergence and (I_2; I), (I*_2 ; I*)-Cauchy double sequence in regular sense in 2-normed spaces. Also, we study some properties of these concepts. -
Rough convergence in 2-normed spaces
Arslan, Mukaddes; Dündar, Erdinç (International Conference on Mathematics and Related Sciences(ICMRS2018), 2018)In this work, we introduced the notions of rough convergence, rough Cauchy sequence and the set of rough limit points of a sequence and obtained rough convergence criteria associated with this set in 2-normed space. ... -
Some asymptotically equivalence types for sequences of sets
Ulusu, Uğur; Dündar, Erdinç (International Conference on Advances in Natural and Applied Sciences, 2017)In this study, the concepts of asymptotically ideal Cesàro equivalence are defined and the relationships among the concepts of asymptotically strongly ideal Cesàro equivalence, asymptotically strongly ideal lacunary ... -
Some properties of 2-dimensional interval numbers
Nuray, Fatih; Dündar, Erdinç; Ulusu, Uğur (International Conference on Mathematical and Related Sciences, 2018)In this paper, we will introduce the notion of convergence of two dimensional interval sequences and show that the set of all two dimensional interval numbers is a metric space. Also, some ordinary vector norms will be ... -
Some uniform continuity definitions for real valued functions and some properties
Nuray, Fatih; Ulusu, Uğur; Dündar, Erdinç (International Conference on Advances in Natural and Applied Sciences, 2017)The purpose of this study is to give some uniform continuity definitions for real valued functions and investigate some properties about these concepts. -
Statistical Convergence of Double Sequences of Functions In 2-Normed Spaces
Yegül, Sevim; Dündar, Erdinç (2018)Statistical convergence and statistical Cauchy sequence of functions in 2-normed space were studied by Yegül and Dündar [S. Yegül, E. Dündar, “On Statistical Convergence of Sequences of Functions In 2-Normed Spaces”, Journal ... -
Strongly I_2-lacunary convergence and I_2-lacunary cauchy double sequences of sets
Dündar, Erdinç; Ulusu, Uğur; Pancaroğlu, Nimet (2015)In this paper, we study the concepts of Wijsman strongly I2-lacunary convergence, Wijsman strongly I*_2 -lacunary convergence, Wijsman strongly I2-lacunary Cauchy sequences and Wijsman strongly I*_2 -lacunary Cauchy double ...