ORCID "0000-0002-0545-7486" Bildiri Metinleri için listeleme
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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 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, ... -
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. ... -
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 ... -
Wijsman I-invariant convergence of sequences of sets
Akın, Nimet; Dündar, Erdinç; Nuray, Fatih (2016)In this paper, we study the concepts of Wijsman I-invariant convergence (I^W_sihma ), Wijsman I*-invariant convergence (I*W_sigma ), Wijsman p-strongly invariant convergence ([WV_sigma]_p) of sequences of sets and investigate ... -
Wijsman I_2-invariant convergence of double sequences of sets
Tortop, Şükrü; Dündar, Erdinç (2016)In this paper, we study the concepts of Wijsman invariant convergence, Wijsmacn invariant statistical onvergence, Wijsman I2-invariant convergence (I^sigma_W_2), Wijsman I*_2 -invariant convergence (I*^sigma_W_2 ), Wijsman ...